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Finding the Fourth Proportional to 296.40, 408.78 and 209.46

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Solution

The fourth proportional to 296.40, 408.78 and 209.46 is: 288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.40 : 408.78 = 209.46 : x
  2. Step 2: Convert to fraction form
    296.40/408.78 = 209.46/x
  3. Step 3: Cross multiply
    296.40x = 408.78 × 209.46
  4. Step 4: Simplify right side
    296.40x = 85,623.06
  5. Step 5: Solve for x
    x = 85,623.06/296.40
  6. Step 6: Final answer
    x = 288.88

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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.