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Finding the Fourth Proportional to 248.55, 371.20 and 197.25

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Solution

The fourth proportional to 248.55, 371.20 and 197.25 is: 294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.55 : 371.20 = 197.25 : x
  2. Step 2: Convert to fraction form
    248.55/371.20 = 197.25/x
  3. Step 3: Cross multiply
    248.55x = 371.20 × 197.25
  4. Step 4: Simplify right side
    248.55x = 73,219.20
  5. Step 5: Solve for x
    x = 73,219.20/248.55
  6. Step 6: Final answer
    x = 294.59

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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.