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Finding the Fourth Proportional to 200.18, 301.61 and 166.23

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Solution

The fourth proportional to 200.18, 301.61 and 166.23 is: 250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.18 : 301.61 = 166.23 : x
  2. Step 2: Convert to fraction form
    200.18/301.61 = 166.23/x
  3. Step 3: Cross multiply
    200.18x = 301.61 × 166.23
  4. Step 4: Simplify right side
    200.18x = 50,136.63
  5. Step 5: Solve for x
    x = 50,136.63/200.18
  6. Step 6: Final answer
    x = 250.46

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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.