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Finding the Fourth Proportional to 863.49, 1,295.22 and 214.22

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Solution

The fourth proportional to 863.49, 1,295.22 and 214.22 is: 321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.49 : 1,295.22 = 214.22 : x
  2. Step 2: Convert to fraction form
    863.49/1,295.22 = 214.22/x
  3. Step 3: Cross multiply
    863.49x = 1,295.22 × 214.22
  4. Step 4: Simplify right side
    863.49x = 277,455.55
  5. Step 5: Solve for x
    x = 277,455.55/863.49
  6. Step 6: Final answer
    x = 321.32

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Double scale
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1.5x scale

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.