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Finding the Fourth Proportional to 282.05, 421.22 and 236.43

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Solution

The fourth proportional to 282.05, 421.22 and 236.43 is: 353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.05 : 421.22 = 236.43 : x
  2. Step 2: Convert to fraction form
    282.05/421.22 = 236.43/x
  3. Step 3: Cross multiply
    282.05x = 421.22 × 236.43
  4. Step 4: Simplify right side
    282.05x = 99,587.86
  5. Step 5: Solve for x
    x = 99,587.86/282.05
  6. Step 6: Final answer
    x = 353.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.