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Finding the Fourth Proportional to 159.22, 238.72 and 67.84

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Solution

The fourth proportional to 159.22, 238.72 and 67.84 is: 101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.22 : 238.72 = 67.84 : x
  2. Step 2: Convert to fraction form
    159.22/238.72 = 67.84/x
  3. Step 3: Cross multiply
    159.22x = 238.72 × 67.84
  4. Step 4: Simplify right side
    159.22x = 16,194.76
  5. Step 5: Solve for x
    x = 16,194.76/159.22
  6. Step 6: Final answer
    x = 101.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.