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Finding the Fourth Proportional to 236.87, 322.49 and 236.13

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Solution

The fourth proportional to 236.87, 322.49 and 236.13 is: 321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.87 : 322.49 = 236.13 : x
  2. Step 2: Convert to fraction form
    236.87/322.49 = 236.13/x
  3. Step 3: Cross multiply
    236.87x = 322.49 × 236.13
  4. Step 4: Simplify right side
    236.87x = 76,148.38
  5. Step 5: Solve for x
    x = 76,148.38/236.87
  6. Step 6: Final answer
    x = 321.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.