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Finding the Fourth Proportional to 509.32, 763.57 and 220.96

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Solution

The fourth proportional to 509.32, 763.57 and 220.96 is: 331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.32 : 763.57 = 220.96 : x
  2. Step 2: Convert to fraction form
    509.32/763.57 = 220.96/x
  3. Step 3: Cross multiply
    509.32x = 763.57 × 220.96
  4. Step 4: Simplify right side
    509.32x = 168,718.43
  5. Step 5: Solve for x
    x = 168,718.43/509.32
  6. Step 6: Final answer
    x = 331.26

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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.