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Finding the Fourth Proportional to 410.38, 566.33 and 321.97

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Solution

The fourth proportional to 410.38, 566.33 and 321.97 is: 444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.38 : 566.33 = 321.97 : x
  2. Step 2: Convert to fraction form
    410.38/566.33 = 321.97/x
  3. Step 3: Cross multiply
    410.38x = 566.33 × 321.97
  4. Step 4: Simplify right side
    410.38x = 182,341.27
  5. Step 5: Solve for x
    x = 182,341.27/410.38
  6. Step 6: Final answer
    x = 444.32

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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.