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Finding the Fourth Proportional to 159.23, 238.67 and 90.61

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Solution

The fourth proportional to 159.23, 238.67 and 90.61 is: 135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.23 : 238.67 = 90.61 : x
  2. Step 2: Convert to fraction form
    159.23/238.67 = 90.61/x
  3. Step 3: Cross multiply
    159.23x = 238.67 × 90.61
  4. Step 4: Simplify right side
    159.23x = 21,624.70
  5. Step 5: Solve for x
    x = 21,624.70/159.23
  6. Step 6: Final answer
    x = 135.81

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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.