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Finding the Fourth Proportional to 182.01, 250.50 and 166.48

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Solution

The fourth proportional to 182.01, 250.50 and 166.48 is: 229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.01 : 250.50 = 166.48 : x
  2. Step 2: Convert to fraction form
    182.01/250.50 = 166.48/x
  3. Step 3: Cross multiply
    182.01x = 250.50 × 166.48
  4. Step 4: Simplify right side
    182.01x = 41,703.24
  5. Step 5: Solve for x
    x = 41,703.24/182.01
  6. Step 6: Final answer
    x = 229.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.