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Finding the Fourth Proportional to 236.27, 325.78 and 204.70

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Solution

The fourth proportional to 236.27, 325.78 and 204.70 is: 282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.27 : 325.78 = 204.70 : x
  2. Step 2: Convert to fraction form
    236.27/325.78 = 204.70/x
  3. Step 3: Cross multiply
    236.27x = 325.78 × 204.70
  4. Step 4: Simplify right side
    236.27x = 66,687.17
  5. Step 5: Solve for x
    x = 66,687.17/236.27
  6. Step 6: Final answer
    x = 282.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.