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Finding the Fourth Proportional to 498.18, 747.34 and 173.46

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Solution

The fourth proportional to 498.18, 747.34 and 173.46 is: 260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.18 : 747.34 = 173.46 : x
  2. Step 2: Convert to fraction form
    498.18/747.34 = 173.46/x
  3. Step 3: Cross multiply
    498.18x = 747.34 × 173.46
  4. Step 4: Simplify right side
    498.18x = 129,633.60
  5. Step 5: Solve for x
    x = 129,633.60/498.18
  6. Step 6: Final answer
    x = 260.21

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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.