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Finding the Fourth Proportional to 498.48, 747.64 and 209.88

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Solution

The fourth proportional to 498.48, 747.64 and 209.88 is: 314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.48 : 747.64 = 209.88 : x
  2. Step 2: Convert to fraction form
    498.48/747.64 = 209.88/x
  3. Step 3: Cross multiply
    498.48x = 747.64 × 209.88
  4. Step 4: Simplify right side
    498.48x = 156,914.68
  5. Step 5: Solve for x
    x = 156,914.68/498.48
  6. Step 6: Final answer
    x = 314.79

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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.