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Finding the Fourth Proportional to 158.68, 218.91 and 106.17

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Solution

The fourth proportional to 158.68, 218.91 and 106.17 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.68 : 218.91 = 106.17 : x
  2. Step 2: Convert to fraction form
    158.68/218.91 = 106.17/x
  3. Step 3: Cross multiply
    158.68x = 218.91 × 106.17
  4. Step 4: Simplify right side
    158.68x = 23,241.67
  5. Step 5: Solve for x
    x = 23,241.67/158.68
  6. Step 6: Final answer
    x = 146.47

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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.