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Finding the Fourth Proportional to 272.95, 378.54 and 249.88

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Solution

The fourth proportional to 272.95, 378.54 and 249.88 is: 346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.95 : 378.54 = 249.88 : x
  2. Step 2: Convert to fraction form
    272.95/378.54 = 249.88/x
  3. Step 3: Cross multiply
    272.95x = 378.54 × 249.88
  4. Step 4: Simplify right side
    272.95x = 94,590.01
  5. Step 5: Solve for x
    x = 94,590.01/272.95
  6. Step 6: Final answer
    x = 346.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.