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Finding the Fourth Proportional to 296.39, 408.88 and 272.70

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Solution

The fourth proportional to 296.39, 408.88 and 272.70 is: 376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.39 : 408.88 = 272.70 : x
  2. Step 2: Convert to fraction form
    296.39/408.88 = 272.70/x
  3. Step 3: Cross multiply
    296.39x = 408.88 × 272.70
  4. Step 4: Simplify right side
    296.39x = 111,501.58
  5. Step 5: Solve for x
    x = 111,501.58/296.39
  6. Step 6: Final answer
    x = 376.20

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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.