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Finding the Fourth Proportional to 219.46, 328.23 and 195.26

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Solution

The fourth proportional to 219.46, 328.23 and 195.26 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.46 : 328.23 = 195.26 : x
  2. Step 2: Convert to fraction form
    219.46/328.23 = 195.26/x
  3. Step 3: Cross multiply
    219.46x = 328.23 × 195.26
  4. Step 4: Simplify right side
    219.46x = 64,089.85
  5. Step 5: Solve for x
    x = 64,089.85/219.46
  6. Step 6: Final answer
    x = 292.04

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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.