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Finding the Fourth Proportional to 236.31, 352.87 and 193.06

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Solution

The fourth proportional to 236.31, 352.87 and 193.06 is: 288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.31 : 352.87 = 193.06 : x
  2. Step 2: Convert to fraction form
    236.31/352.87 = 193.06/x
  3. Step 3: Cross multiply
    236.31x = 352.87 × 193.06
  4. Step 4: Simplify right side
    236.31x = 68,123.36
  5. Step 5: Solve for x
    x = 68,123.36/236.31
  6. Step 6: Final answer
    x = 288.28

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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.