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Finding the Fourth Proportional to 219.71, 328.25 and 194.00

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Solution

The fourth proportional to 219.71, 328.25 and 194.00 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.71 : 328.25 = 194.00 : x
  2. Step 2: Convert to fraction form
    219.71/328.25 = 194.00/x
  3. Step 3: Cross multiply
    219.71x = 328.25 × 194.00
  4. Step 4: Simplify right side
    219.71x = 63,679.34
  5. Step 5: Solve for x
    x = 63,679.34/219.71
  6. Step 6: Final answer
    x = 289.83

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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.