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Finding the Fourth Proportional to 189.24, 282.18 and 168.73

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Solution

The fourth proportional to 189.24, 282.18 and 168.73 is: 251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.24 : 282.18 = 168.73 : x
  2. Step 2: Convert to fraction form
    189.24/282.18 = 168.73/x
  3. Step 3: Cross multiply
    189.24x = 282.18 × 168.73
  4. Step 4: Simplify right side
    189.24x = 47,613.75
  5. Step 5: Solve for x
    x = 47,613.75/189.24
  6. Step 6: Final answer
    x = 251.61

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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.