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Finding the Fourth Proportional to 108.83, 149.71 and 97.19

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Solution

The fourth proportional to 108.83, 149.71 and 97.19 is: 133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.83 : 149.71 = 97.19 : x
  2. Step 2: Convert to fraction form
    108.83/149.71 = 97.19/x
  3. Step 3: Cross multiply
    108.83x = 149.71 × 97.19
  4. Step 4: Simplify right side
    108.83x = 14,550.31
  5. Step 5: Solve for x
    x = 14,550.31/108.83
  6. Step 6: Final answer
    x = 133.70

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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.