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Finding the Fourth Proportional to 158.93, 238.41 and 81.86

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Solution

The fourth proportional to 158.93, 238.41 and 81.86 is: 122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.93 : 238.41 = 81.86 : x
  2. Step 2: Convert to fraction form
    158.93/238.41 = 81.86/x
  3. Step 3: Cross multiply
    158.93x = 238.41 × 81.86
  4. Step 4: Simplify right side
    158.93x = 19,516.24
  5. Step 5: Solve for x
    x = 19,516.24/158.93
  6. Step 6: Final answer
    x = 122.80

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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.