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Finding the Fourth Proportional to 624.89, 936.95 and 213.99

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Solution

The fourth proportional to 624.89, 936.95 and 213.99 is: 320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.89 : 936.95 = 213.99 : x
  2. Step 2: Convert to fraction form
    624.89/936.95 = 213.99/x
  3. Step 3: Cross multiply
    624.89x = 936.95 × 213.99
  4. Step 4: Simplify right side
    624.89x = 200,496.86
  5. Step 5: Solve for x
    x = 200,496.86/624.89
  6. Step 6: Final answer
    x = 320.85

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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.