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Finding the Fourth Proportional to 265.78, 396.36 and 236.28

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Solution

The fourth proportional to 265.78, 396.36 and 236.28 is: 352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 396.36 = 236.28 : x
  2. Step 2: Convert to fraction form
    265.78/396.36 = 236.28/x
  3. Step 3: Cross multiply
    265.78x = 396.36 × 236.28
  4. Step 4: Simplify right side
    265.78x = 93,653.43
  5. Step 5: Solve for x
    x = 93,653.43/265.78
  6. Step 6: Final answer
    x = 352.37

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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.