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Finding the Fourth Proportional to 213.36, 295.04 and 203.68

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Solution

The fourth proportional to 213.36, 295.04 and 203.68 is: 281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.36 : 295.04 = 203.68 : x
  2. Step 2: Convert to fraction form
    213.36/295.04 = 203.68/x
  3. Step 3: Cross multiply
    213.36x = 295.04 × 203.68
  4. Step 4: Simplify right side
    213.36x = 60,093.75
  5. Step 5: Solve for x
    x = 60,093.75/213.36
  6. Step 6: Final answer
    x = 281.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.