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Finding the Fourth Proportional to 158.11, 218.12 and 102.83

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Solution

The fourth proportional to 158.11, 218.12 and 102.83 is: 141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.11 : 218.12 = 102.83 : x
  2. Step 2: Convert to fraction form
    158.11/218.12 = 102.83/x
  3. Step 3: Cross multiply
    158.11x = 218.12 × 102.83
  4. Step 4: Simplify right side
    158.11x = 22,428.58
  5. Step 5: Solve for x
    x = 22,428.58/158.11
  6. Step 6: Final answer
    x = 141.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.