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Finding the Fourth Proportional to 108.40, 149.68 and 97.44

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Solution

The fourth proportional to 108.40, 149.68 and 97.44 is: 134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.40 : 149.68 = 97.44 : x
  2. Step 2: Convert to fraction form
    108.40/149.68 = 97.44/x
  3. Step 3: Cross multiply
    108.40x = 149.68 × 97.44
  4. Step 4: Simplify right side
    108.40x = 14,584.82
  5. Step 5: Solve for x
    x = 14,584.82/108.40
  6. Step 6: Final answer
    x = 134.55

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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.