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Finding the Fourth Proportional to 263.84, 396.32 and 229.22

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Solution

The fourth proportional to 263.84, 396.32 and 229.22 is: 344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.84 : 396.32 = 229.22 : x
  2. Step 2: Convert to fraction form
    263.84/396.32 = 229.22/x
  3. Step 3: Cross multiply
    263.84x = 396.32 × 229.22
  4. Step 4: Simplify right side
    263.84x = 90,844.47
  5. Step 5: Solve for x
    x = 90,844.47/263.84
  6. Step 6: Final answer
    x = 344.32

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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.