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Finding the Fourth Proportional to 157.98, 217.76 and 108.78

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Solution

The fourth proportional to 157.98, 217.76 and 108.78 is: 149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.98 : 217.76 = 108.78 : x
  2. Step 2: Convert to fraction form
    157.98/217.76 = 108.78/x
  3. Step 3: Cross multiply
    157.98x = 217.76 × 108.78
  4. Step 4: Simplify right side
    157.98x = 23,686.57
  5. Step 5: Solve for x
    x = 23,686.57/157.98
  6. Step 6: Final answer
    x = 149.93

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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.