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Finding the Fourth Proportional to 498.90, 747.12 and 282.24

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Solution

The fourth proportional to 498.90, 747.12 and 282.24 is: 422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.90 : 747.12 = 282.24 : x
  2. Step 2: Convert to fraction form
    498.90/747.12 = 282.24/x
  3. Step 3: Cross multiply
    498.90x = 747.12 × 282.24
  4. Step 4: Simplify right side
    498.90x = 210,867.15
  5. Step 5: Solve for x
    x = 210,867.15/498.90
  6. Step 6: Final answer
    x = 422.66

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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.