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Finding the Fourth Proportional to 499.38, 748.92 and 210.78

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Solution

The fourth proportional to 499.38, 748.92 and 210.78 is: 316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.38 : 748.92 = 210.78 : x
  2. Step 2: Convert to fraction form
    499.38/748.92 = 210.78/x
  3. Step 3: Cross multiply
    499.38x = 748.92 × 210.78
  4. Step 4: Simplify right side
    499.38x = 157,857.36
  5. Step 5: Solve for x
    x = 157,857.36/499.38
  6. Step 6: Final answer
    x = 316.11

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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.