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Finding the Fourth Proportional to 159.28, 219.90 and 112.30

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Solution

The fourth proportional to 159.28, 219.90 and 112.30 is: 155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.28 : 219.90 = 112.30 : x
  2. Step 2: Convert to fraction form
    159.28/219.90 = 112.30/x
  3. Step 3: Cross multiply
    159.28x = 219.90 × 112.30
  4. Step 4: Simplify right side
    159.28x = 24,693.73
  5. Step 5: Solve for x
    x = 24,693.73/159.28
  6. Step 6: Final answer
    x = 155.03

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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.