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Finding the Fourth Proportional to 213.96, 295.24 and 143.96

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Solution

The fourth proportional to 213.96, 295.24 and 143.96 is: 198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.96 : 295.24 = 143.96 : x
  2. Step 2: Convert to fraction form
    213.96/295.24 = 143.96/x
  3. Step 3: Cross multiply
    213.96x = 295.24 × 143.96
  4. Step 4: Simplify right side
    213.96x = 42,502.75
  5. Step 5: Solve for x
    x = 42,502.75/213.96
  6. Step 6: Final answer
    x = 198.65

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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.