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Finding the Fourth Proportional to 311.16, 427.61 and 296.90

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Solution

The fourth proportional to 311.16, 427.61 and 296.90 is: 408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.16 : 427.61 = 296.90 : x
  2. Step 2: Convert to fraction form
    311.16/427.61 = 296.90/x
  3. Step 3: Cross multiply
    311.16x = 427.61 × 296.90
  4. Step 4: Simplify right side
    311.16x = 126,957.41
  5. Step 5: Solve for x
    x = 126,957.41/311.16
  6. Step 6: Final answer
    x = 408.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.