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Finding the Fourth Proportional to 108.24, 149.19 and 83.64

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Solution

The fourth proportional to 108.24, 149.19 and 83.64 is: 115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.24 : 149.19 = 83.64 : x
  2. Step 2: Convert to fraction form
    108.24/149.19 = 83.64/x
  3. Step 3: Cross multiply
    108.24x = 149.19 × 83.64
  4. Step 4: Simplify right side
    108.24x = 12,478.25
  5. Step 5: Solve for x
    x = 12,478.25/108.24
  6. Step 6: Final answer
    x = 115.28

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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.