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Finding the Fourth Proportional to 498.24, 747.45 and 173.57

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Solution

The fourth proportional to 498.24, 747.45 and 173.57 is: 260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 747.45 = 173.57 : x
  2. Step 2: Convert to fraction form
    498.24/747.45 = 173.57/x
  3. Step 3: Cross multiply
    498.24x = 747.45 × 173.57
  4. Step 4: Simplify right side
    498.24x = 129,731.16
  5. Step 5: Solve for x
    x = 129,731.16/498.24
  6. Step 6: Final answer
    x = 260.38

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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.