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Finding the Fourth Proportional to 97.43, 146.77 and 92.97

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Solution

The fourth proportional to 97.43, 146.77 and 92.97 is: 140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.43 : 146.77 = 92.97 : x
  2. Step 2: Convert to fraction form
    97.43/146.77 = 92.97/x
  3. Step 3: Cross multiply
    97.43x = 146.77 × 92.97
  4. Step 4: Simplify right side
    97.43x = 13,644.97
  5. Step 5: Solve for x
    x = 13,644.97/97.43
  6. Step 6: Final answer
    x = 140.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.