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Finding the Fourth Proportional to 97.44, 135.32 and 96.60

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Solution

The fourth proportional to 97.44, 135.32 and 96.60 is: 134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.44 : 135.32 = 96.60 : x
  2. Step 2: Convert to fraction form
    97.44/135.32 = 96.60/x
  3. Step 3: Cross multiply
    97.44x = 135.32 × 96.60
  4. Step 4: Simplify right side
    97.44x = 13,071.91
  5. Step 5: Solve for x
    x = 13,071.91/97.44
  6. Step 6: Final answer
    x = 134.15

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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.