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Finding the Fourth Proportional to 406.28, 560.72 and 231.66

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Solution

The fourth proportional to 406.28, 560.72 and 231.66 is: 319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.28 : 560.72 = 231.66 : x
  2. Step 2: Convert to fraction form
    406.28/560.72 = 231.66/x
  3. Step 3: Cross multiply
    406.28x = 560.72 × 231.66
  4. Step 4: Simplify right side
    406.28x = 129,895.24
  5. Step 5: Solve for x
    x = 129,895.24/406.28
  6. Step 6: Final answer
    x = 319.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.