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Finding the Fourth Proportional to 219.72, 328.77 and 194.43

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Solution

The fourth proportional to 219.72, 328.77 and 194.43 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.72 : 328.77 = 194.43 : x
  2. Step 2: Convert to fraction form
    219.72/328.77 = 194.43/x
  3. Step 3: Cross multiply
    219.72x = 328.77 × 194.43
  4. Step 4: Simplify right side
    219.72x = 63,922.75
  5. Step 5: Solve for x
    x = 63,922.75/219.72
  6. Step 6: Final answer
    x = 290.93

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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.