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Finding the Fourth Proportional to 159.20, 219.50 and 110.12

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Solution

The fourth proportional to 159.20, 219.50 and 110.12 is: 151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.20 : 219.50 = 110.12 : x
  2. Step 2: Convert to fraction form
    159.20/219.50 = 110.12/x
  3. Step 3: Cross multiply
    159.20x = 219.50 × 110.12
  4. Step 4: Simplify right side
    159.20x = 24,171.34
  5. Step 5: Solve for x
    x = 24,171.34/159.20
  6. Step 6: Final answer
    x = 151.83

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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.