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Finding the Fourth Proportional to 406.05, 560.31 and 231.39

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Solution

The fourth proportional to 406.05, 560.31 and 231.39 is: 319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.05 : 560.31 = 231.39 : x
  2. Step 2: Convert to fraction form
    406.05/560.31 = 231.39/x
  3. Step 3: Cross multiply
    406.05x = 560.31 × 231.39
  4. Step 4: Simplify right side
    406.05x = 129,650.13
  5. Step 5: Solve for x
    x = 129,650.13/406.05
  6. Step 6: Final answer
    x = 319.30

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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.