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Finding the Fourth Proportional to 200.52, 299.33 and 186.84

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Solution

The fourth proportional to 200.52, 299.33 and 186.84 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.52 : 299.33 = 186.84 : x
  2. Step 2: Convert to fraction form
    200.52/299.33 = 186.84/x
  3. Step 3: Cross multiply
    200.52x = 299.33 × 186.84
  4. Step 4: Simplify right side
    200.52x = 55,926.82
  5. Step 5: Solve for x
    x = 55,926.82/200.52
  6. Step 6: Final answer
    x = 278.91

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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.