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Finding the Fourth Proportional to 311.92, 430.46 and 170.14

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Solution

The fourth proportional to 311.92, 430.46 and 170.14 is: 234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.92 : 430.46 = 170.14 : x
  2. Step 2: Convert to fraction form
    311.92/430.46 = 170.14/x
  3. Step 3: Cross multiply
    311.92x = 430.46 × 170.14
  4. Step 4: Simplify right side
    311.92x = 73,238.46
  5. Step 5: Solve for x
    x = 73,238.46/311.92
  6. Step 6: Final answer
    x = 234.80

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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.