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Finding the Fourth Proportional to 200.27, 300.49 and 135.23

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Solution

The fourth proportional to 200.27, 300.49 and 135.23 is: 202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.27 : 300.49 = 135.23 : x
  2. Step 2: Convert to fraction form
    200.27/300.49 = 135.23/x
  3. Step 3: Cross multiply
    200.27x = 300.49 × 135.23
  4. Step 4: Simplify right side
    200.27x = 40,633.42
  5. Step 5: Solve for x
    x = 40,633.42/200.27
  6. Step 6: Final answer
    x = 202.89

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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.