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Finding the Fourth Proportional to 159, 219.06 and 129.84

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Solution

The fourth proportional to 159, 219.06 and 129.84 is: 178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 219.06 = 129.84 : x
  2. Step 2: Convert to fraction form
    159/219.06 = 129.84/x
  3. Step 3: Cross multiply
    159x = 219.06 × 129.84
  4. Step 4: Simplify right side
    159x = 28,442.75
  5. Step 5: Solve for x
    x = 28,442.75/159
  6. Step 6: Final answer
    x = 178.89

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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.