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Finding the Fourth Proportional to 296.39, 408.95 and 178.34

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Solution

The fourth proportional to 296.39, 408.95 and 178.34 is: 246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.39 : 408.95 = 178.34 : x
  2. Step 2: Convert to fraction form
    296.39/408.95 = 178.34/x
  3. Step 3: Cross multiply
    296.39x = 408.95 × 178.34
  4. Step 4: Simplify right side
    296.39x = 72,929.88
  5. Step 5: Solve for x
    x = 72,929.88/296.39
  6. Step 6: Final answer
    x = 246.06

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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.