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Finding the Fourth Proportional to 276.88, 413 and 243.04

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Solution

The fourth proportional to 276.88, 413 and 243.04 is: 362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.88 : 413 = 243.04 : x
  2. Step 2: Convert to fraction form
    276.88/413 = 243.04/x
  3. Step 3: Cross multiply
    276.88x = 413 × 243.04
  4. Step 4: Simplify right side
    276.88x = 100,375.52
  5. Step 5: Solve for x
    x = 100,375.52/276.88
  6. Step 6: Final answer
    x = 362.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.