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Finding the Fourth Proportional to 483.88, 726.18 and 278.56

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Solution

The fourth proportional to 483.88, 726.18 and 278.56 is: 418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.88 : 726.18 = 278.56 : x
  2. Step 2: Convert to fraction form
    483.88/726.18 = 278.56/x
  3. Step 3: Cross multiply
    483.88x = 726.18 × 278.56
  4. Step 4: Simplify right side
    483.88x = 202,284.70
  5. Step 5: Solve for x
    x = 202,284.70/483.88
  6. Step 6: Final answer
    x = 418.05

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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.