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Finding the Fourth Proportional to 200.39, 301.95 and 166.91

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Solution

The fourth proportional to 200.39, 301.95 and 166.91 is: 251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.39 : 301.95 = 166.91 : x
  2. Step 2: Convert to fraction form
    200.39/301.95 = 166.91/x
  3. Step 3: Cross multiply
    200.39x = 301.95 × 166.91
  4. Step 4: Simplify right side
    200.39x = 50,396.96
  5. Step 5: Solve for x
    x = 50,396.96/200.39
  6. Step 6: Final answer
    x = 251.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.