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Finding the Fourth Proportional to 296.19, 408.71 and 191.28

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Solution

The fourth proportional to 296.19, 408.71 and 191.28 is: 263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.19 : 408.71 = 191.28 : x
  2. Step 2: Convert to fraction form
    296.19/408.71 = 191.28/x
  3. Step 3: Cross multiply
    296.19x = 408.71 × 191.28
  4. Step 4: Simplify right side
    296.19x = 78,180.06
  5. Step 5: Solve for x
    x = 78,180.06/296.19
  6. Step 6: Final answer
    x = 263.95

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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.