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Finding the Fourth Proportional to 236.24, 325.75 and 161.56

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Solution

The fourth proportional to 236.24, 325.75 and 161.56 is: 222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.24 : 325.75 = 161.56 : x
  2. Step 2: Convert to fraction form
    236.24/325.75 = 161.56/x
  3. Step 3: Cross multiply
    236.24x = 325.75 × 161.56
  4. Step 4: Simplify right side
    236.24x = 52,628.17
  5. Step 5: Solve for x
    x = 52,628.17/236.24
  6. Step 6: Final answer
    x = 222.77

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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.