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Finding the Fourth Proportional to 254.74, 381.42 and 218.18

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Solution

The fourth proportional to 254.74, 381.42 and 218.18 is: 326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.74 : 381.42 = 218.18 : x
  2. Step 2: Convert to fraction form
    254.74/381.42 = 218.18/x
  3. Step 3: Cross multiply
    254.74x = 381.42 × 218.18
  4. Step 4: Simplify right side
    254.74x = 83,218.22
  5. Step 5: Solve for x
    x = 83,218.22/254.74
  6. Step 6: Final answer
    x = 326.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.