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Finding the Fourth Proportional to 158.82, 238.20 and 50.59

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Solution

The fourth proportional to 158.82, 238.20 and 50.59 is: 75.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.82 : 238.20 = 50.59 : x
  2. Step 2: Convert to fraction form
    158.82/238.20 = 50.59/x
  3. Step 3: Cross multiply
    158.82x = 238.20 × 50.59
  4. Step 4: Simplify right side
    158.82x = 12,049.35
  5. Step 5: Solve for x
    x = 12,049.35/158.82
  6. Step 6: Final answer
    x = 75.87

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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.