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Finding the Fourth Proportional to 97.71, 146.34 and 77.37

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Solution

The fourth proportional to 97.71, 146.34 and 77.37 is: 115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.71 : 146.34 = 77.37 : x
  2. Step 2: Convert to fraction form
    97.71/146.34 = 77.37/x
  3. Step 3: Cross multiply
    97.71x = 146.34 × 77.37
  4. Step 4: Simplify right side
    97.71x = 11,322.33
  5. Step 5: Solve for x
    x = 11,322.33/97.71
  6. Step 6: Final answer
    x = 115.88

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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.