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Finding the Fourth Proportional to 108.05, 149.28 and 83.25

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Solution

The fourth proportional to 108.05, 149.28 and 83.25 is: 115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.05 : 149.28 = 83.25 : x
  2. Step 2: Convert to fraction form
    108.05/149.28 = 83.25/x
  3. Step 3: Cross multiply
    108.05x = 149.28 × 83.25
  4. Step 4: Simplify right side
    108.05x = 12,427.34
  5. Step 5: Solve for x
    x = 12,427.34/108.05
  6. Step 6: Final answer
    x = 115.02

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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.