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Finding the Fourth Proportional to 445.78, 615.09 and 268.84

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Solution

The fourth proportional to 445.78, 615.09 and 268.84 is: 370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.78 : 615.09 = 268.84 : x
  2. Step 2: Convert to fraction form
    445.78/615.09 = 268.84/x
  3. Step 3: Cross multiply
    445.78x = 615.09 × 268.84
  4. Step 4: Simplify right side
    445.78x = 165,360.80
  5. Step 5: Solve for x
    x = 165,360.80/445.78
  6. Step 6: Final answer
    x = 370.95

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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.