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Finding the Fourth Proportional to 254.86, 380.02 and 254.52

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Solution

The fourth proportional to 254.86, 380.02 and 254.52 is: 379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.86 : 380.02 = 254.52 : x
  2. Step 2: Convert to fraction form
    254.86/380.02 = 254.52/x
  3. Step 3: Cross multiply
    254.86x = 380.02 × 254.52
  4. Step 4: Simplify right side
    254.86x = 96,722.69
  5. Step 5: Solve for x
    x = 96,722.69/254.86
  6. Step 6: Final answer
    x = 379.51

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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.