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Finding the Fourth Proportional to 159.52, 238.97 and 90.84

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Solution

The fourth proportional to 159.52, 238.97 and 90.84 is: 136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.52 : 238.97 = 90.84 : x
  2. Step 2: Convert to fraction form
    159.52/238.97 = 90.84/x
  3. Step 3: Cross multiply
    159.52x = 238.97 × 90.84
  4. Step 4: Simplify right side
    159.52x = 21,708.03
  5. Step 5: Solve for x
    x = 21,708.03/159.52
  6. Step 6: Final answer
    x = 136.08

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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.