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Finding the Fourth Proportional to 409.74, 565.43 and 232.71

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Solution

The fourth proportional to 409.74, 565.43 and 232.71 is: 321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.74 : 565.43 = 232.71 : x
  2. Step 2: Convert to fraction form
    409.74/565.43 = 232.71/x
  3. Step 3: Cross multiply
    409.74x = 565.43 × 232.71
  4. Step 4: Simplify right side
    409.74x = 131,580.05
  5. Step 5: Solve for x
    x = 131,580.05/409.74
  6. Step 6: Final answer
    x = 321.13

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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.