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Finding the Fourth Proportional to 108.89, 151.31 and 107.78

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Solution

The fourth proportional to 108.89, 151.31 and 107.78 is: 149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.89 : 151.31 = 107.78 : x
  2. Step 2: Convert to fraction form
    108.89/151.31 = 107.78/x
  3. Step 3: Cross multiply
    108.89x = 151.31 × 107.78
  4. Step 4: Simplify right side
    108.89x = 16,308.19
  5. Step 5: Solve for x
    x = 16,308.19/108.89
  6. Step 6: Final answer
    x = 149.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.