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Finding the Fourth Proportional to 254.89, 380.71 and 218.44

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Solution

The fourth proportional to 254.89, 380.71 and 218.44 is: 326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.89 : 380.71 = 218.44 : x
  2. Step 2: Convert to fraction form
    254.89/380.71 = 218.44/x
  3. Step 3: Cross multiply
    254.89x = 380.71 × 218.44
  4. Step 4: Simplify right side
    254.89x = 83,162.29
  5. Step 5: Solve for x
    x = 83,162.29/254.89
  6. Step 6: Final answer
    x = 326.27

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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.