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Finding the Fourth Proportional to 166.23, 248.90 and 112.05

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Solution

The fourth proportional to 166.23, 248.90 and 112.05 is: 167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.23 : 248.90 = 112.05 : x
  2. Step 2: Convert to fraction form
    166.23/248.90 = 112.05/x
  3. Step 3: Cross multiply
    166.23x = 248.90 × 112.05
  4. Step 4: Simplify right side
    166.23x = 27,888.68
  5. Step 5: Solve for x
    x = 27,888.68/166.23
  6. Step 6: Final answer
    x = 167.77

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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.