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Finding the Fourth Proportional to 412.33, 565.37 and 400.18

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Solution

The fourth proportional to 412.33, 565.37 and 400.18 is: 548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.33 : 565.37 = 400.18 : x
  2. Step 2: Convert to fraction form
    412.33/565.37 = 400.18/x
  3. Step 3: Cross multiply
    412.33x = 565.37 × 400.18
  4. Step 4: Simplify right side
    412.33x = 226,249.77
  5. Step 5: Solve for x
    x = 226,249.77/412.33
  6. Step 6: Final answer
    x = 548.71

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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.