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Finding the Fourth Proportional to 200.54, 299.40 and 166.37

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Solution

The fourth proportional to 200.54, 299.40 and 166.37 is: 248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.54 : 299.40 = 166.37 : x
  2. Step 2: Convert to fraction form
    200.54/299.40 = 166.37/x
  3. Step 3: Cross multiply
    200.54x = 299.40 × 166.37
  4. Step 4: Simplify right side
    200.54x = 49,809.68
  5. Step 5: Solve for x
    x = 49,809.68/200.54
  6. Step 6: Final answer
    x = 248.38

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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.