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Finding the Fourth Proportional to 268.64, 404.56 and 236.48

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Solution

The fourth proportional to 268.64, 404.56 and 236.48 is: 356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.64 : 404.56 = 236.48 : x
  2. Step 2: Convert to fraction form
    268.64/404.56 = 236.48/x
  3. Step 3: Cross multiply
    268.64x = 404.56 × 236.48
  4. Step 4: Simplify right side
    268.64x = 95,671.37
  5. Step 5: Solve for x
    x = 95,671.37/268.64
  6. Step 6: Final answer
    x = 356.14

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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.