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Finding the Fourth Proportional to 200.81, 301.36 and 72.56

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Solution

The fourth proportional to 200.81, 301.36 and 72.56 is: 108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.81 : 301.36 = 72.56 : x
  2. Step 2: Convert to fraction form
    200.81/301.36 = 72.56/x
  3. Step 3: Cross multiply
    200.81x = 301.36 × 72.56
  4. Step 4: Simplify right side
    200.81x = 21,867.25
  5. Step 5: Solve for x
    x = 21,867.25/200.81
  6. Step 6: Final answer
    x = 108.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.