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Finding the Fourth Proportional to 540.62, 746.03 and 304.58

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Solution

The fourth proportional to 540.62, 746.03 and 304.58 is: 420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.62 : 746.03 = 304.58 : x
  2. Step 2: Convert to fraction form
    540.62/746.03 = 304.58/x
  3. Step 3: Cross multiply
    540.62x = 746.03 × 304.58
  4. Step 4: Simplify right side
    540.62x = 227,222.85
  5. Step 5: Solve for x
    x = 227,222.85/540.62
  6. Step 6: Final answer
    x = 420.30

Related Problems

Find fourth proportional to 270.31, 373.02 and 152.29
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Double scale
Find fourth proportional to 541.62, 747.41 and 305.58
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.