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Finding the Fourth Proportional to 108.25, 149.35 and 66.81

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Solution

The fourth proportional to 108.25, 149.35 and 66.81 is: 92.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.25 : 149.35 = 66.81 : x
  2. Step 2: Convert to fraction form
    108.25/149.35 = 66.81/x
  3. Step 3: Cross multiply
    108.25x = 149.35 × 66.81
  4. Step 4: Simplify right side
    108.25x = 9,978.07
  5. Step 5: Solve for x
    x = 9,978.07/108.25
  6. Step 6: Final answer
    x = 92.18

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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.