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Finding the Fourth Proportional to 213.35, 318.55 and 191.24

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Solution

The fourth proportional to 213.35, 318.55 and 191.24 is: 285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.35 : 318.55 = 191.24 : x
  2. Step 2: Convert to fraction form
    213.35/318.55 = 191.24/x
  3. Step 3: Cross multiply
    213.35x = 318.55 × 191.24
  4. Step 4: Simplify right side
    213.35x = 60,917.91
  5. Step 5: Solve for x
    x = 60,917.91/213.35
  6. Step 6: Final answer
    x = 285.54

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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.