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Finding the Fourth Proportional to 162.11, 242.25 and 149.79

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Solution

The fourth proportional to 162.11, 242.25 and 149.79 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.11 : 242.25 = 149.79 : x
  2. Step 2: Convert to fraction form
    162.11/242.25 = 149.79/x
  3. Step 3: Cross multiply
    162.11x = 242.25 × 149.79
  4. Step 4: Simplify right side
    162.11x = 36,286.63
  5. Step 5: Solve for x
    x = 36,286.63/162.11
  6. Step 6: Final answer
    x = 223.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.