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Finding the Fourth Proportional to 268.92, 401.15 and 236.12

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Solution

The fourth proportional to 268.92, 401.15 and 236.12 is: 352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.92 : 401.15 = 236.12 : x
  2. Step 2: Convert to fraction form
    268.92/401.15 = 236.12/x
  3. Step 3: Cross multiply
    268.92x = 401.15 × 236.12
  4. Step 4: Simplify right side
    268.92x = 94,718.12
  5. Step 5: Solve for x
    x = 94,718.12/268.92
  6. Step 6: Final answer
    x = 352.22

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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.