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Finding the Fourth Proportional to 158.68, 218.82 and 100.42

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Solution

The fourth proportional to 158.68, 218.82 and 100.42 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.68 : 218.82 = 100.42 : x
  2. Step 2: Convert to fraction form
    158.68/218.82 = 100.42/x
  3. Step 3: Cross multiply
    158.68x = 218.82 × 100.42
  4. Step 4: Simplify right side
    158.68x = 21,973.90
  5. Step 5: Solve for x
    x = 21,973.90/158.68
  6. Step 6: Final answer
    x = 138.48

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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.