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Finding the Fourth Proportional to 97.32, 133.94 and 93.64

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Solution

The fourth proportional to 97.32, 133.94 and 93.64 is: 128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.32 : 133.94 = 93.64 : x
  2. Step 2: Convert to fraction form
    97.32/133.94 = 93.64/x
  3. Step 3: Cross multiply
    97.32x = 133.94 × 93.64
  4. Step 4: Simplify right side
    97.32x = 12,542.14
  5. Step 5: Solve for x
    x = 12,542.14/97.32
  6. Step 6: Final answer
    x = 128.88

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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.