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Finding the Fourth Proportional to 202.79, 304.49 and 81.29

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Solution

The fourth proportional to 202.79, 304.49 and 81.29 is: 122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.79 : 304.49 = 81.29 : x
  2. Step 2: Convert to fraction form
    202.79/304.49 = 81.29/x
  3. Step 3: Cross multiply
    202.79x = 304.49 × 81.29
  4. Step 4: Simplify right side
    202.79x = 24,752.36
  5. Step 5: Solve for x
    x = 24,752.36/202.79
  6. Step 6: Final answer
    x = 122.06

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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.