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Finding the Fourth Proportional to 97.37, 134.28 and 81.86

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Solution

The fourth proportional to 97.37, 134.28 and 81.86 is: 112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.37 : 134.28 = 81.86 : x
  2. Step 2: Convert to fraction form
    97.37/134.28 = 81.86/x
  3. Step 3: Cross multiply
    97.37x = 134.28 × 81.86
  4. Step 4: Simplify right side
    97.37x = 10,992.16
  5. Step 5: Solve for x
    x = 10,992.16/97.37
  6. Step 6: Final answer
    x = 112.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.