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Finding the Fourth Proportional to 311.27, 426.98 and 286.63

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Solution

The fourth proportional to 311.27, 426.98 and 286.63 is: 393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.27 : 426.98 = 286.63 : x
  2. Step 2: Convert to fraction form
    311.27/426.98 = 286.63/x
  3. Step 3: Cross multiply
    311.27x = 426.98 × 286.63
  4. Step 4: Simplify right side
    311.27x = 122,384.93
  5. Step 5: Solve for x
    x = 122,384.93/311.27
  6. Step 6: Final answer
    x = 393.19

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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.