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Finding the Fourth Proportional to 142.49, 213.71 and 65.43

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Solution

The fourth proportional to 142.49, 213.71 and 65.43 is: 98.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.49 : 213.71 = 65.43 : x
  2. Step 2: Convert to fraction form
    142.49/213.71 = 65.43/x
  3. Step 3: Cross multiply
    142.49x = 213.71 × 65.43
  4. Step 4: Simplify right side
    142.49x = 13,982.72
  5. Step 5: Solve for x
    x = 13,982.72/142.49
  6. Step 6: Final answer
    x = 98.13

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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.