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Finding the Fourth Proportional to 236.82, 355.46 and 175.31

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Solution

The fourth proportional to 236.82, 355.46 and 175.31 is: 263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.82 : 355.46 = 175.31 : x
  2. Step 2: Convert to fraction form
    236.82/355.46 = 175.31/x
  3. Step 3: Cross multiply
    236.82x = 355.46 × 175.31
  4. Step 4: Simplify right side
    236.82x = 62,313.04
  5. Step 5: Solve for x
    x = 62,313.04/236.82
  6. Step 6: Final answer
    x = 263.12

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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.