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Finding the Fourth Proportional to 142.60, 213.01 and 101.68

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Solution

The fourth proportional to 142.60, 213.01 and 101.68 is: 151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.60 : 213.01 = 101.68 : x
  2. Step 2: Convert to fraction form
    142.60/213.01 = 101.68/x
  3. Step 3: Cross multiply
    142.60x = 213.01 × 101.68
  4. Step 4: Simplify right side
    142.60x = 21,658.86
  5. Step 5: Solve for x
    x = 21,658.86/142.60
  6. Step 6: Final answer
    x = 151.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.