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Finding the Fourth Proportional to 159.78, 219.98 and 136.42

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Solution

The fourth proportional to 159.78, 219.98 and 136.42 is: 187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.78 : 219.98 = 136.42 : x
  2. Step 2: Convert to fraction form
    159.78/219.98 = 136.42/x
  3. Step 3: Cross multiply
    159.78x = 219.98 × 136.42
  4. Step 4: Simplify right side
    159.78x = 30,009.67
  5. Step 5: Solve for x
    x = 30,009.67/159.78
  6. Step 6: Final answer
    x = 187.82

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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.