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Finding the Fourth Proportional to 508.72, 763.32 and 252.22

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Solution

The fourth proportional to 508.72, 763.32 and 252.22 is: 378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.72 : 763.32 = 252.22 : x
  2. Step 2: Convert to fraction form
    508.72/763.32 = 252.22/x
  3. Step 3: Cross multiply
    508.72x = 763.32 × 252.22
  4. Step 4: Simplify right side
    508.72x = 192,524.57
  5. Step 5: Solve for x
    x = 192,524.57/508.72
  6. Step 6: Final answer
    x = 378.45

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