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Finding the Fourth Proportional to 489.17, 733.76 and 142.50

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Solution

The fourth proportional to 489.17, 733.76 and 142.50 is: 213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.17 : 733.76 = 142.50 : x
  2. Step 2: Convert to fraction form
    489.17/733.76 = 142.50/x
  3. Step 3: Cross multiply
    489.17x = 733.76 × 142.50
  4. Step 4: Simplify right side
    489.17x = 104,560.80
  5. Step 5: Solve for x
    x = 104,560.80/489.17
  6. Step 6: Final answer
    x = 213.75

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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.