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Finding the Fourth Proportional to 200.00, 299.50 and 126.65

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Solution

The fourth proportional to 200.00, 299.50 and 126.65 is: 189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.00 : 299.50 = 126.65 : x
  2. Step 2: Convert to fraction form
    200.00/299.50 = 126.65/x
  3. Step 3: Cross multiply
    200.00x = 299.50 × 126.65
  4. Step 4: Simplify right side
    200.00x = 37,932.91
  5. Step 5: Solve for x
    x = 37,932.91/200.00
  6. Step 6: Final answer
    x = 189.66

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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.