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Finding the Fourth Proportional to 200.74, 299.69 and 166.54

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Solution

The fourth proportional to 200.74, 299.69 and 166.54 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.74 : 299.69 = 166.54 : x
  2. Step 2: Convert to fraction form
    200.74/299.69 = 166.54/x
  3. Step 3: Cross multiply
    200.74x = 299.69 × 166.54
  4. Step 4: Simplify right side
    200.74x = 49,910.37
  5. Step 5: Solve for x
    x = 49,910.37/200.74
  6. Step 6: Final answer
    x = 248.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.