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Finding the Fourth Proportional to 200.90, 301.80 and 143.27

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Solution

The fourth proportional to 200.90, 301.80 and 143.27 is: 215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.90 : 301.80 = 143.27 : x
  2. Step 2: Convert to fraction form
    200.90/301.80 = 143.27/x
  3. Step 3: Cross multiply
    200.90x = 301.80 × 143.27
  4. Step 4: Simplify right side
    200.90x = 43,237.38
  5. Step 5: Solve for x
    x = 43,237.38/200.90
  6. Step 6: Final answer
    x = 215.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.