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Finding the Fourth Proportional to 489.31, 734.01 and 142.63

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Solution

The fourth proportional to 489.31, 734.01 and 142.63 is: 213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.31 : 734.01 = 142.63 : x
  2. Step 2: Convert to fraction form
    489.31/734.01 = 142.63/x
  3. Step 3: Cross multiply
    489.31x = 734.01 × 142.63
  4. Step 4: Simplify right side
    489.31x = 104,691.85
  5. Step 5: Solve for x
    x = 104,691.85/489.31
  6. Step 6: Final answer
    x = 213.96

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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.