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Finding the Fourth Proportional to 202.73, 304.09 and 72.76

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Solution

The fourth proportional to 202.73, 304.09 and 72.76 is: 109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.73 : 304.09 = 72.76 : x
  2. Step 2: Convert to fraction form
    202.73/304.09 = 72.76/x
  3. Step 3: Cross multiply
    202.73x = 304.09 × 72.76
  4. Step 4: Simplify right side
    202.73x = 22,123.70
  5. Step 5: Solve for x
    x = 22,123.70/202.73
  6. Step 6: Final answer
    x = 109.13

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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.