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Finding the Fourth Proportional to 219.71, 328 and 195.41

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Solution

The fourth proportional to 219.71, 328 and 195.41 is: 291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.71 : 328 = 195.41 : x
  2. Step 2: Convert to fraction form
    219.71/328 = 195.41/x
  3. Step 3: Cross multiply
    219.71x = 328 × 195.41
  4. Step 4: Simplify right side
    219.71x = 64,092.84
  5. Step 5: Solve for x
    x = 64,092.84/219.71
  6. Step 6: Final answer
    x = 291.72

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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.