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Finding the Fourth Proportional to 254.40, 379.14 and 248.46

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Solution

The fourth proportional to 254.40, 379.14 and 248.46 is: 370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.40 : 379.14 = 248.46 : x
  2. Step 2: Convert to fraction form
    254.40/379.14 = 248.46/x
  3. Step 3: Cross multiply
    254.40x = 379.14 × 248.46
  4. Step 4: Simplify right side
    254.40x = 94,201.12
  5. Step 5: Solve for x
    x = 94,201.12/254.40
  6. Step 6: Final answer
    x = 370.29

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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.