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Finding the Fourth Proportional to 296.26, 408.85 and 165.31

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Solution

The fourth proportional to 296.26, 408.85 and 165.31 is: 228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.26 : 408.85 = 165.31 : x
  2. Step 2: Convert to fraction form
    296.26/408.85 = 165.31/x
  3. Step 3: Cross multiply
    296.26x = 408.85 × 165.31
  4. Step 4: Simplify right side
    296.26x = 67,585.56
  5. Step 5: Solve for x
    x = 67,585.56/296.26
  6. Step 6: Final answer
    x = 228.13

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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.