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Finding the Fourth Proportional to 498.13, 747.26 and 173.45

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Solution

The fourth proportional to 498.13, 747.26 and 173.45 is: 260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.13 : 747.26 = 173.45 : x
  2. Step 2: Convert to fraction form
    498.13/747.26 = 173.45/x
  3. Step 3: Cross multiply
    498.13x = 747.26 × 173.45
  4. Step 4: Simplify right side
    498.13x = 129,613.90
  5. Step 5: Solve for x
    x = 129,613.90/498.13
  6. Step 6: Final answer
    x = 260.20

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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.