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Finding the Fourth Proportional to 158.73, 238.61 and 90.39

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Solution

The fourth proportional to 158.73, 238.61 and 90.39 is: 135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.73 : 238.61 = 90.39 : x
  2. Step 2: Convert to fraction form
    158.73/238.61 = 90.39/x
  3. Step 3: Cross multiply
    158.73x = 238.61 × 90.39
  4. Step 4: Simplify right side
    158.73x = 21,567.96
  5. Step 5: Solve for x
    x = 21,567.96/158.73
  6. Step 6: Final answer
    x = 135.88

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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.