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Finding the Fourth Proportional to 200.78, 300.71 and 180.73

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Solution

The fourth proportional to 200.78, 300.71 and 180.73 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.78 : 300.71 = 180.73 : x
  2. Step 2: Convert to fraction form
    200.78/300.71 = 180.73/x
  3. Step 3: Cross multiply
    200.78x = 300.71 × 180.73
  4. Step 4: Simplify right side
    200.78x = 54,347.32
  5. Step 5: Solve for x
    x = 54,347.32/200.78
  6. Step 6: Final answer
    x = 270.68

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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.