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Finding the Fourth Proportional to 483.88, 726.14 and 267.60

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Solution

The fourth proportional to 483.88, 726.14 and 267.60 is: 401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.88 : 726.14 = 267.60 : x
  2. Step 2: Convert to fraction form
    483.88/726.14 = 267.60/x
  3. Step 3: Cross multiply
    483.88x = 726.14 × 267.60
  4. Step 4: Simplify right side
    483.88x = 194,315.06
  5. Step 5: Solve for x
    x = 194,315.06/483.88
  6. Step 6: Final answer
    x = 401.58

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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.