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Finding the Fourth Proportional to 406.88, 560.76 and 296.18

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Solution

The fourth proportional to 406.88, 560.76 and 296.18 is: 408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.88 : 560.76 = 296.18 : x
  2. Step 2: Convert to fraction form
    406.88/560.76 = 296.18/x
  3. Step 3: Cross multiply
    406.88x = 560.76 × 296.18
  4. Step 4: Simplify right side
    406.88x = 166,085.90
  5. Step 5: Solve for x
    x = 166,085.90/406.88
  6. Step 6: Final answer
    x = 408.19

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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.