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Finding the Fourth Proportional to 254.20, 379.11 and 229.59

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Solution

The fourth proportional to 254.20, 379.11 and 229.59 is: 342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.20 : 379.11 = 229.59 : x
  2. Step 2: Convert to fraction form
    254.20/379.11 = 229.59/x
  3. Step 3: Cross multiply
    254.20x = 379.11 × 229.59
  4. Step 4: Simplify right side
    254.20x = 87,038.72
  5. Step 5: Solve for x
    x = 87,038.72/254.20
  6. Step 6: Final answer
    x = 342.41

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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.