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Finding the Fourth Proportional to 254.41, 379.76 and 218.57

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Solution

The fourth proportional to 254.41, 379.76 and 218.57 is: 326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.41 : 379.76 = 218.57 : x
  2. Step 2: Convert to fraction form
    254.41/379.76 = 218.57/x
  3. Step 3: Cross multiply
    254.41x = 379.76 × 218.57
  4. Step 4: Simplify right side
    254.41x = 83,003.05
  5. Step 5: Solve for x
    x = 83,003.05/254.41
  6. Step 6: Final answer
    x = 326.26

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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.