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Finding the Fourth Proportional to 411.27, 564.27 and 400.92

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Solution

The fourth proportional to 411.27, 564.27 and 400.92 is: 550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.27 : 564.27 = 400.92 : x
  2. Step 2: Convert to fraction form
    411.27/564.27 = 400.92/x
  3. Step 3: Cross multiply
    411.27x = 564.27 × 400.92
  4. Step 4: Simplify right side
    411.27x = 226,227.13
  5. Step 5: Solve for x
    x = 226,227.13/411.27
  6. Step 6: Final answer
    x = 550.07

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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.