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Finding the Fourth Proportional to 280.78, 418.38 and 250.11

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Solution

The fourth proportional to 280.78, 418.38 and 250.11 is: 372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.78 : 418.38 = 250.11 : x
  2. Step 2: Convert to fraction form
    280.78/418.38 = 250.11/x
  3. Step 3: Cross multiply
    280.78x = 418.38 × 250.11
  4. Step 4: Simplify right side
    280.78x = 104,642.28
  5. Step 5: Solve for x
    x = 104,642.28/280.78
  6. Step 6: Final answer
    x = 372.68

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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.