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Finding the Fourth Proportional to 296.13, 408.65 and 165.15

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Solution

The fourth proportional to 296.13, 408.65 and 165.15 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.13 : 408.65 = 165.15 : x
  2. Step 2: Convert to fraction form
    296.13/408.65 = 165.15/x
  3. Step 3: Cross multiply
    296.13x = 408.65 × 165.15
  4. Step 4: Simplify right side
    296.13x = 67,487.72
  5. Step 5: Solve for x
    x = 67,487.72/296.13
  6. Step 6: Final answer
    x = 227.90

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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.