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Finding the Fourth Proportional to 499.18, 748.52 and 225.08

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Solution

The fourth proportional to 499.18, 748.52 and 225.08 is: 337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.18 : 748.52 = 225.08 : x
  2. Step 2: Convert to fraction form
    499.18/748.52 = 225.08/x
  3. Step 3: Cross multiply
    499.18x = 748.52 × 225.08
  4. Step 4: Simplify right side
    499.18x = 168,476.93
  5. Step 5: Solve for x
    x = 168,476.93/499.18
  6. Step 6: Final answer
    x = 337.51

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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.