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Finding the Fourth Proportional to 248.18, 371.82 and 167.10

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Solution

The fourth proportional to 248.18, 371.82 and 167.10 is: 250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.18 : 371.82 = 167.10 : x
  2. Step 2: Convert to fraction form
    248.18/371.82 = 167.10/x
  3. Step 3: Cross multiply
    248.18x = 371.82 × 167.10
  4. Step 4: Simplify right side
    248.18x = 62,131.12
  5. Step 5: Solve for x
    x = 62,131.12/248.18
  6. Step 6: Final answer
    x = 250.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.