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Finding the Fourth Proportional to 254.10, 379.56 and 249.78

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Solution

The fourth proportional to 254.10, 379.56 and 249.78 is: 373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.10 : 379.56 = 249.78 : x
  2. Step 2: Convert to fraction form
    254.10/379.56 = 249.78/x
  3. Step 3: Cross multiply
    254.10x = 379.56 × 249.78
  4. Step 4: Simplify right side
    254.10x = 94,806.50
  5. Step 5: Solve for x
    x = 94,806.50/254.10
  6. Step 6: Final answer
    x = 373.11

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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.