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Finding the Fourth Proportional to 863.81, 1,295.70 and 214.55

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Solution

The fourth proportional to 863.81, 1,295.70 and 214.55 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.81 : 1,295.70 = 214.55 : x
  2. Step 2: Convert to fraction form
    863.81/1,295.70 = 214.55/x
  3. Step 3: Cross multiply
    863.81x = 1,295.70 × 214.55
  4. Step 4: Simplify right side
    863.81x = 277,990.01
  5. Step 5: Solve for x
    x = 277,990.01/863.81
  6. Step 6: Final answer
    x = 321.82

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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.