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Finding the Fourth Proportional to 509.20, 763.92 and 365.20

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Solution

The fourth proportional to 509.20, 763.92 and 365.20 is: 547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.20 : 763.92 = 365.20 : x
  2. Step 2: Convert to fraction form
    509.20/763.92 = 365.20/x
  3. Step 3: Cross multiply
    509.20x = 763.92 × 365.20
  4. Step 4: Simplify right side
    509.20x = 278,983.58
  5. Step 5: Solve for x
    x = 278,983.58/509.20
  6. Step 6: Final answer
    x = 547.89

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.