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Finding the Fourth Proportional to 356.48, 535.82 and 229.04

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Solution

The fourth proportional to 356.48, 535.82 and 229.04 is: 344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.48 : 535.82 = 229.04 : x
  2. Step 2: Convert to fraction form
    356.48/535.82 = 229.04/x
  3. Step 3: Cross multiply
    356.48x = 535.82 × 229.04
  4. Step 4: Simplify right side
    356.48x = 122,724.21
  5. Step 5: Solve for x
    x = 122,724.21/356.48
  6. Step 6: Final answer
    x = 344.27

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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.