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Finding the Fourth Proportional to 219.22, 329.27 and 211.93

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Solution

The fourth proportional to 219.22, 329.27 and 211.93 is: 318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.22 : 329.27 = 211.93 : x
  2. Step 2: Convert to fraction form
    219.22/329.27 = 211.93/x
  3. Step 3: Cross multiply
    219.22x = 329.27 × 211.93
  4. Step 4: Simplify right side
    219.22x = 69,782.19
  5. Step 5: Solve for x
    x = 69,782.19/219.22
  6. Step 6: Final answer
    x = 318.32

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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.