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Finding the Fourth Proportional to 200.57, 299.71 and 175.97

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Solution

The fourth proportional to 200.57, 299.71 and 175.97 is: 262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.57 : 299.71 = 175.97 : x
  2. Step 2: Convert to fraction form
    200.57/299.71 = 175.97/x
  3. Step 3: Cross multiply
    200.57x = 299.71 × 175.97
  4. Step 4: Simplify right side
    200.57x = 52,739.09
  5. Step 5: Solve for x
    x = 52,739.09/200.57
  6. Step 6: Final answer
    x = 262.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.