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Finding the Fourth Proportional to 159.91, 221.13 and 136.93

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Solution

The fourth proportional to 159.91, 221.13 and 136.93 is: 189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.91 : 221.13 = 136.93 : x
  2. Step 2: Convert to fraction form
    159.91/221.13 = 136.93/x
  3. Step 3: Cross multiply
    159.91x = 221.13 × 136.93
  4. Step 4: Simplify right side
    159.91x = 30,279.33
  5. Step 5: Solve for x
    x = 30,279.33/159.91
  6. Step 6: Final answer
    x = 189.35

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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.