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Finding the Fourth Proportional to 254.08, 379.36 and 229.76

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Solution

The fourth proportional to 254.08, 379.36 and 229.76 is: 343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.08 : 379.36 = 229.76 : x
  2. Step 2: Convert to fraction form
    254.08/379.36 = 229.76/x
  3. Step 3: Cross multiply
    254.08x = 379.36 × 229.76
  4. Step 4: Simplify right side
    254.08x = 87,161.75
  5. Step 5: Solve for x
    x = 87,161.75/254.08
  6. Step 6: Final answer
    x = 343.05

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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.