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Finding the Fourth Proportional to 200.78, 301.21 and 72.54

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Solution

The fourth proportional to 200.78, 301.21 and 72.54 is: 108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.78 : 301.21 = 72.54 : x
  2. Step 2: Convert to fraction form
    200.78/301.21 = 72.54/x
  3. Step 3: Cross multiply
    200.78x = 301.21 × 72.54
  4. Step 4: Simplify right side
    200.78x = 21,849.77
  5. Step 5: Solve for x
    x = 21,849.77/200.78
  6. Step 6: Final answer
    x = 108.82

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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.