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Finding the Fourth Proportional to 151, 207.01 and 142.90

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Solution

The fourth proportional to 151, 207.01 and 142.90 is: 195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151 : 207.01 = 142.90 : x
  2. Step 2: Convert to fraction form
    151/207.01 = 142.90/x
  3. Step 3: Cross multiply
    151x = 207.01 × 142.90
  4. Step 4: Simplify right side
    151x = 29,581.73
  5. Step 5: Solve for x
    x = 29,581.73/151
  6. Step 6: Final answer
    x = 195.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.