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Finding the Fourth Proportional to 248.74, 371.75 and 229.28

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Solution

The fourth proportional to 248.74, 371.75 and 229.28 is: 342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.74 : 371.75 = 229.28 : x
  2. Step 2: Convert to fraction form
    248.74/371.75 = 229.28/x
  3. Step 3: Cross multiply
    248.74x = 371.75 × 229.28
  4. Step 4: Simplify right side
    248.74x = 85,233.69
  5. Step 5: Solve for x
    x = 85,233.69/248.74
  6. Step 6: Final answer
    x = 342.66

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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.