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Finding the Fourth Proportional to 236.69, 355.01 and 82.61

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Solution

The fourth proportional to 236.69, 355.01 and 82.61 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.69 : 355.01 = 82.61 : x
  2. Step 2: Convert to fraction form
    236.69/355.01 = 82.61/x
  3. Step 3: Cross multiply
    236.69x = 355.01 × 82.61
  4. Step 4: Simplify right side
    236.69x = 29,325.19
  5. Step 5: Solve for x
    x = 29,325.19/236.69
  6. Step 6: Final answer
    x = 123.90

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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.