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Finding the Fourth Proportional to 309.12, 426.60 and 220.92

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Solution

The fourth proportional to 309.12, 426.60 and 220.92 is: 304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 426.60 = 220.92 : x
  2. Step 2: Convert to fraction form
    309.12/426.60 = 220.92/x
  3. Step 3: Cross multiply
    309.12x = 426.60 × 220.92
  4. Step 4: Simplify right side
    309.12x = 94,244.47
  5. Step 5: Solve for x
    x = 94,244.47/309.12
  6. Step 6: Final answer
    x = 304.88

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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.