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Finding the Fourth Proportional to 157.90, 217.68 and 108.70

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Solution

The fourth proportional to 157.90, 217.68 and 108.70 is: 149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.90 : 217.68 = 108.70 : x
  2. Step 2: Convert to fraction form
    157.90/217.68 = 108.70/x
  3. Step 3: Cross multiply
    157.90x = 217.68 × 108.70
  4. Step 4: Simplify right side
    157.90x = 23,661.82
  5. Step 5: Solve for x
    x = 23,661.82/157.90
  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.