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Finding the Fourth Proportional to 219.27, 300.99 and 194.16

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Solution

The fourth proportional to 219.27, 300.99 and 194.16 is: 266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.27 : 300.99 = 194.16 : x
  2. Step 2: Convert to fraction form
    219.27/300.99 = 194.16/x
  3. Step 3: Cross multiply
    219.27x = 300.99 × 194.16
  4. Step 4: Simplify right side
    219.27x = 58,440.22
  5. Step 5: Solve for x
    x = 58,440.22/219.27
  6. Step 6: Final answer
    x = 266.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.