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Finding the Fourth Proportional to 150.35, 207.11 and 108.78

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Solution

The fourth proportional to 150.35, 207.11 and 108.78 is: 149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.35 : 207.11 = 108.78 : x
  2. Step 2: Convert to fraction form
    150.35/207.11 = 108.78/x
  3. Step 3: Cross multiply
    150.35x = 207.11 × 108.78
  4. Step 4: Simplify right side
    150.35x = 22,528.88
  5. Step 5: Solve for x
    x = 22,528.88/150.35
  6. Step 6: Final answer
    x = 149.85

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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.