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Finding the Fourth Proportional to 406.20, 560.22 and 296.40

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Solution

The fourth proportional to 406.20, 560.22 and 296.40 is: 408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.20 : 560.22 = 296.40 : x
  2. Step 2: Convert to fraction form
    406.20/560.22 = 296.40/x
  3. Step 3: Cross multiply
    406.20x = 560.22 × 296.40
  4. Step 4: Simplify right side
    406.20x = 166,049.21
  5. Step 5: Solve for x
    x = 166,049.21/406.20
  6. Step 6: Final answer
    x = 408.79

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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.