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Finding the Fourth Proportional to 406.72, 560.82 and 296.02

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Solution

The fourth proportional to 406.72, 560.82 and 296.02 is: 408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.72 : 560.82 = 296.02 : x
  2. Step 2: Convert to fraction form
    406.72/560.82 = 296.02/x
  3. Step 3: Cross multiply
    406.72x = 560.82 × 296.02
  4. Step 4: Simplify right side
    406.72x = 166,013.94
  5. Step 5: Solve for x
    x = 166,013.94/406.72
  6. Step 6: Final answer
    x = 408.18

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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.