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Finding the Fourth Proportional to 199.48, 275.22 and 166.66

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Solution

The fourth proportional to 199.48, 275.22 and 166.66 is: 229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.48 : 275.22 = 166.66 : x
  2. Step 2: Convert to fraction form
    199.48/275.22 = 166.66/x
  3. Step 3: Cross multiply
    199.48x = 275.22 × 166.66
  4. Step 4: Simplify right side
    199.48x = 45,868.17
  5. Step 5: Solve for x
    x = 45,868.17/199.48
  6. Step 6: Final answer
    x = 229.94

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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.