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Finding the Fourth Proportional to 97.28, 133.28 and 85.76

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Solution

The fourth proportional to 97.28, 133.28 and 85.76 is: 117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.28 : 133.28 = 85.76 : x
  2. Step 2: Convert to fraction form
    97.28/133.28 = 85.76/x
  3. Step 3: Cross multiply
    97.28x = 133.28 × 85.76
  4. Step 4: Simplify right side
    97.28x = 11,430.09
  5. Step 5: Solve for x
    x = 11,430.09/97.28
  6. Step 6: Final answer
    x = 117.50

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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.