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Finding the Fourth Proportional to 483.94, 726.72 and 267.70

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Solution

The fourth proportional to 483.94, 726.72 and 267.70 is: 402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.94 : 726.72 = 267.70 : x
  2. Step 2: Convert to fraction form
    483.94/726.72 = 267.70/x
  3. Step 3: Cross multiply
    483.94x = 726.72 × 267.70
  4. Step 4: Simplify right side
    483.94x = 194,542.94
  5. Step 5: Solve for x
    x = 194,542.94/483.94
  6. Step 6: Final answer
    x = 402.00

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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.