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Finding the Fourth Proportional to 409.38, 565.17 and 311.37

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Solution

The fourth proportional to 409.38, 565.17 and 311.37 is: 429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 565.17 = 311.37 : x
  2. Step 2: Convert to fraction form
    409.38/565.17 = 311.37/x
  3. Step 3: Cross multiply
    409.38x = 565.17 × 311.37
  4. Step 4: Simplify right side
    409.38x = 175,976.98
  5. Step 5: Solve for x
    x = 175,976.98/409.38
  6. Step 6: Final answer
    x = 429.86

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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.