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Finding the Fourth Proportional to 327.48, 451.76 and 209.40

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Solution

The fourth proportional to 327.48, 451.76 and 209.40 is: 288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 451.76 = 209.40 : x
  2. Step 2: Convert to fraction form
    327.48/451.76 = 209.40/x
  3. Step 3: Cross multiply
    327.48x = 451.76 × 209.40
  4. Step 4: Simplify right side
    327.48x = 94,597.50
  5. Step 5: Solve for x
    x = 94,597.50/327.48
  6. Step 6: Final answer
    x = 288.86

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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.