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Finding the Fourth Proportional to 158.82, 238.10 and 86.54

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Solution

The fourth proportional to 158.82, 238.10 and 86.54 is: 129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.82 : 238.10 = 86.54 : x
  2. Step 2: Convert to fraction form
    158.82/238.10 = 86.54/x
  3. Step 3: Cross multiply
    158.82x = 238.10 × 86.54
  4. Step 4: Simplify right side
    158.82x = 20,603.55
  5. Step 5: Solve for x
    x = 20,603.55/158.82
  6. Step 6: Final answer
    x = 129.73

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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.