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Finding the Fourth Proportional to 254.12, 379.85 and 219.79

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Solution

The fourth proportional to 254.12, 379.85 and 219.79 is: 328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.12 : 379.85 = 219.79 : x
  2. Step 2: Convert to fraction form
    254.12/379.85 = 219.79/x
  3. Step 3: Cross multiply
    254.12x = 379.85 × 219.79
  4. Step 4: Simplify right side
    254.12x = 83,486.61
  5. Step 5: Solve for x
    x = 83,486.61/254.12
  6. Step 6: Final answer
    x = 328.54

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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.