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Finding the Fourth Proportional to 530.38, 730.20 and 364.24

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Solution

The fourth proportional to 530.38, 730.20 and 364.24 is: 501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.38 : 730.20 = 364.24 : x
  2. Step 2: Convert to fraction form
    530.38/730.20 = 364.24/x
  3. Step 3: Cross multiply
    530.38x = 730.20 × 364.24
  4. Step 4: Simplify right side
    530.38x = 265,968.05
  5. Step 5: Solve for x
    x = 265,968.05/530.38
  6. Step 6: Final answer
    x = 501.47

Related Problems

Find fourth proportional to 265.19, 365.10 and 182.12
Half scale
Find fourth proportional to 1,060.76, 1,460.40 and 728.48
Double scale
Find fourth proportional to 531.38, 731.58 and 365.24
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.