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Finding the Fourth Proportional to 254.28, 383.25 and 218.64

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Solution

The fourth proportional to 254.28, 383.25 and 218.64 is: 329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.28 : 383.25 = 218.64 : x
  2. Step 2: Convert to fraction form
    254.28/383.25 = 218.64/x
  3. Step 3: Cross multiply
    254.28x = 383.25 × 218.64
  4. Step 4: Simplify right side
    254.28x = 83,793.78
  5. Step 5: Solve for x
    x = 83,793.78/254.28
  6. Step 6: Final answer
    x = 329.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.