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Finding the Fourth Proportional to 159, 219.39 and 89.04

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Solution

The fourth proportional to 159, 219.39 and 89.04 is: 122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 219.39 = 89.04 : x
  2. Step 2: Convert to fraction form
    159/219.39 = 89.04/x
  3. Step 3: Cross multiply
    159x = 219.39 × 89.04
  4. Step 4: Simplify right side
    159x = 19,534.49
  5. Step 5: Solve for x
    x = 19,534.49/159
  6. Step 6: Final answer
    x = 122.86

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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.