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Finding the Fourth Proportional to 151, 207.16 and 141.72

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Solution

The fourth proportional to 151, 207.16 and 141.72 is: 194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151 : 207.16 = 141.72 : x
  2. Step 2: Convert to fraction form
    151/207.16 = 141.72/x
  3. Step 3: Cross multiply
    151x = 207.16 × 141.72
  4. Step 4: Simplify right side
    151x = 29,358.72
  5. Step 5: Solve for x
    x = 29,358.72/151
  6. Step 6: Final answer
    x = 194.43

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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.