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Finding the Fourth Proportional to 483.88, 726.15 and 267.61

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Solution

The fourth proportional to 483.88, 726.15 and 267.61 is: 401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.88 : 726.15 = 267.61 : x
  2. Step 2: Convert to fraction form
    483.88/726.15 = 267.61/x
  3. Step 3: Cross multiply
    483.88x = 726.15 × 267.61
  4. Step 4: Simplify right side
    483.88x = 194,325.00
  5. Step 5: Solve for x
    x = 194,325.00/483.88
  6. Step 6: Final answer
    x = 401.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.