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Finding the Fourth Proportional to 624.57, 936.97 and 213.82

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Solution

The fourth proportional to 624.57, 936.97 and 213.82 is: 320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.57 : 936.97 = 213.82 : x
  2. Step 2: Convert to fraction form
    624.57/936.97 = 213.82/x
  3. Step 3: Cross multiply
    624.57x = 936.97 × 213.82
  4. Step 4: Simplify right side
    624.57x = 200,342.93
  5. Step 5: Solve for x
    x = 200,342.93/624.57
  6. Step 6: Final answer
    x = 320.77

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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.