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Finding the Fourth Proportional to 420.76, 580.64 and 234.24

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Solution

The fourth proportional to 420.76, 580.64 and 234.24 is: 323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.76 : 580.64 = 234.24 : x
  2. Step 2: Convert to fraction form
    420.76/580.64 = 234.24/x
  3. Step 3: Cross multiply
    420.76x = 580.64 × 234.24
  4. Step 4: Simplify right side
    420.76x = 136,009.11
  5. Step 5: Solve for x
    x = 136,009.11/420.76
  6. Step 6: Final answer
    x = 323.25

Related Problems

Find fourth proportional to 210.38, 290.32 and 117.12
Half scale
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Double scale
Find fourth proportional to 421.76, 582.02 and 235.24
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.