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Finding the Fourth Proportional to 97.38, 134.36 and 84.32

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Solution

The fourth proportional to 97.38, 134.36 and 84.32 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.38 : 134.36 = 84.32 : x
  2. Step 2: Convert to fraction form
    97.38/134.36 = 84.32/x
  3. Step 3: Cross multiply
    97.38x = 134.36 × 84.32
  4. Step 4: Simplify right side
    97.38x = 11,329.24
  5. Step 5: Solve for x
    x = 11,329.24/97.38
  6. Step 6: Final answer
    x = 116.34

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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.