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Finding the Fourth Proportional to 202.94, 304.17 and 81.14

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Solution

The fourth proportional to 202.94, 304.17 and 81.14 is: 121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 304.17 = 81.14 : x
  2. Step 2: Convert to fraction form
    202.94/304.17 = 81.14/x
  3. Step 3: Cross multiply
    202.94x = 304.17 × 81.14
  4. Step 4: Simplify right side
    202.94x = 24,678.83
  5. Step 5: Solve for x
    x = 24,678.83/202.94
  6. Step 6: Final answer
    x = 121.61

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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.