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Finding the Fourth Proportional to 108.16, 149.17 and 71.28

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Solution

The fourth proportional to 108.16, 149.17 and 71.28 is: 98.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.16 : 149.17 = 71.28 : x
  2. Step 2: Convert to fraction form
    108.16/149.17 = 71.28/x
  3. Step 3: Cross multiply
    108.16x = 149.17 × 71.28
  4. Step 4: Simplify right side
    108.16x = 10,632.59
  5. Step 5: Solve for x
    x = 10,632.59/108.16
  6. Step 6: Final answer
    x = 98.30

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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.