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Finding the Fourth Proportional to 200.73, 298.71 and 187.83

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Solution

The fourth proportional to 200.73, 298.71 and 187.83 is: 279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.73 : 298.71 = 187.83 : x
  2. Step 2: Convert to fraction form
    200.73/298.71 = 187.83/x
  3. Step 3: Cross multiply
    200.73x = 298.71 × 187.83
  4. Step 4: Simplify right side
    200.73x = 56,106.70
  5. Step 5: Solve for x
    x = 56,106.70/200.73
  6. Step 6: Final answer
    x = 279.51

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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.