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Finding the Fourth Proportional to 406.41, 560.89 and 231.78

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Solution

The fourth proportional to 406.41, 560.89 and 231.78 is: 319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.41 : 560.89 = 231.78 : x
  2. Step 2: Convert to fraction form
    406.41/560.89 = 231.78/x
  3. Step 3: Cross multiply
    406.41x = 560.89 × 231.78
  4. Step 4: Simplify right side
    406.41x = 130,003.08
  5. Step 5: Solve for x
    x = 130,003.08/406.41
  6. Step 6: Final answer
    x = 319.88

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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.