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Finding the Fourth Proportional to 236.06, 355.40 and 164.42

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Solution

The fourth proportional to 236.06, 355.40 and 164.42 is: 247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.06 : 355.40 = 164.42 : x
  2. Step 2: Convert to fraction form
    236.06/355.40 = 164.42/x
  3. Step 3: Cross multiply
    236.06x = 355.40 × 164.42
  4. Step 4: Simplify right side
    236.06x = 58,434.87
  5. Step 5: Solve for x
    x = 58,434.87/236.06
  6. Step 6: Final answer
    x = 247.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.