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Finding the Fourth Proportional to 296.30, 408.30 and 252.56

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Solution

The fourth proportional to 296.30, 408.30 and 252.56 is: 348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.30 : 408.30 = 252.56 : x
  2. Step 2: Convert to fraction form
    296.30/408.30 = 252.56/x
  3. Step 3: Cross multiply
    296.30x = 408.30 × 252.56
  4. Step 4: Simplify right side
    296.30x = 103,120.25
  5. Step 5: Solve for x
    x = 103,120.25/296.30
  6. Step 6: Final answer
    x = 348.03

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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.