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Finding the Fourth Proportional to 248.01, 371.89 and 111.10

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Solution

The fourth proportional to 248.01, 371.89 and 111.10 is: 166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.01 : 371.89 = 111.10 : x
  2. Step 2: Convert to fraction form
    248.01/371.89 = 111.10/x
  3. Step 3: Cross multiply
    248.01x = 371.89 × 111.10
  4. Step 4: Simplify right side
    248.01x = 41,316.98
  5. Step 5: Solve for x
    x = 41,316.98/248.01
  6. Step 6: Final answer
    x = 166.59

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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.