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Finding the Fourth Proportional to 97.14, 134.98 and 96

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Solution

The fourth proportional to 97.14, 134.98 and 96 is: 133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.14 : 134.98 = 96 : x
  2. Step 2: Convert to fraction form
    97.14/134.98 = 96/x
  3. Step 3: Cross multiply
    97.14x = 134.98 × 96
  4. Step 4: Simplify right side
    97.14x = 12,957.84
  5. Step 5: Solve for x
    x = 12,957.84/97.14
  6. Step 6: Final answer
    x = 133.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.