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Finding the Fourth Proportional to 509.34, 763.11 and 234.86

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Solution

The fourth proportional to 509.34, 763.11 and 234.86 is: 351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.34 : 763.11 = 234.86 : x
  2. Step 2: Convert to fraction form
    509.34/763.11 = 234.86/x
  3. Step 3: Cross multiply
    509.34x = 763.11 × 234.86
  4. Step 4: Simplify right side
    509.34x = 179,224.01
  5. Step 5: Solve for x
    x = 179,224.01/509.34
  6. Step 6: Final answer
    x = 351.88

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Double scale
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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.