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Finding the Fourth Proportional to 108.38, 150.28 and 106.40

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Solution

The fourth proportional to 108.38, 150.28 and 106.40 is: 147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.38 : 150.28 = 106.40 : x
  2. Step 2: Convert to fraction form
    108.38/150.28 = 106.40/x
  3. Step 3: Cross multiply
    108.38x = 150.28 × 106.40
  4. Step 4: Simplify right side
    108.38x = 15,989.79
  5. Step 5: Solve for x
    x = 15,989.79/108.38
  6. Step 6: Final answer
    x = 147.53

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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.