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Finding the Fourth Proportional to 108.37, 149.60 and 66.90

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Solution

The fourth proportional to 108.37, 149.60 and 66.90 is: 92.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.37 : 149.60 = 66.90 : x
  2. Step 2: Convert to fraction form
    108.37/149.60 = 66.90/x
  3. Step 3: Cross multiply
    108.37x = 149.60 × 66.90
  4. Step 4: Simplify right side
    108.37x = 10,008.41
  5. Step 5: Solve for x
    x = 10,008.41/108.37
  6. Step 6: Final answer
    x = 92.36

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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.