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Finding the Fourth Proportional to 254.54, 379.85 and 227.20

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Solution

The fourth proportional to 254.54, 379.85 and 227.20 is: 339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.54 : 379.85 = 227.20 : x
  2. Step 2: Convert to fraction form
    254.54/379.85 = 227.20/x
  3. Step 3: Cross multiply
    254.54x = 379.85 × 227.20
  4. Step 4: Simplify right side
    254.54x = 86,300.02
  5. Step 5: Solve for x
    x = 86,300.02/254.54
  6. Step 6: Final answer
    x = 339.05

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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.