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Finding the Fourth Proportional to 254.74, 379.22 and 253.37

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Solution

The fourth proportional to 254.74, 379.22 and 253.37 is: 377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.74 : 379.22 = 253.37 : x
  2. Step 2: Convert to fraction form
    254.74/379.22 = 253.37/x
  3. Step 3: Cross multiply
    254.74x = 379.22 × 253.37
  4. Step 4: Simplify right side
    254.74x = 96,082.97
  5. Step 5: Solve for x
    x = 96,082.97/254.74
  6. Step 6: Final answer
    x = 377.18

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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.