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Finding the Fourth Proportional to 221.19, 329.68 and 214.57

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Solution

The fourth proportional to 221.19, 329.68 and 214.57 is: 319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.19 : 329.68 = 214.57 : x
  2. Step 2: Convert to fraction form
    221.19/329.68 = 214.57/x
  3. Step 3: Cross multiply
    221.19x = 329.68 × 214.57
  4. Step 4: Simplify right side
    221.19x = 70,739.44
  5. Step 5: Solve for x
    x = 70,739.44/221.19
  6. Step 6: Final answer
    x = 319.81

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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.