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Finding the Fourth Proportional to 159.06, 219.37 and 112.29

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Solution

The fourth proportional to 159.06, 219.37 and 112.29 is: 154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.06 : 219.37 = 112.29 : x
  2. Step 2: Convert to fraction form
    159.06/219.37 = 112.29/x
  3. Step 3: Cross multiply
    159.06x = 219.37 × 112.29
  4. Step 4: Simplify right side
    159.06x = 24,633.06
  5. Step 5: Solve for x
    x = 24,633.06/159.06
  6. Step 6: Final answer
    x = 154.87

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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.