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Finding the Fourth Proportional to 498.40, 747.40 and 209.76

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Solution

The fourth proportional to 498.40, 747.40 and 209.76 is: 314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 747.40 = 209.76 : x
  2. Step 2: Convert to fraction form
    498.40/747.40 = 209.76/x
  3. Step 3: Cross multiply
    498.40x = 747.40 × 209.76
  4. Step 4: Simplify right side
    498.40x = 156,774.62
  5. Step 5: Solve for x
    x = 156,774.62/498.40
  6. Step 6: Final answer
    x = 314.56

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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.