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Finding the Fourth Proportional to 219.54, 328.34 and 195.32

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Solution

The fourth proportional to 219.54, 328.34 and 195.32 is: 292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.54 : 328.34 = 195.32 : x
  2. Step 2: Convert to fraction form
    219.54/328.34 = 195.32/x
  3. Step 3: Cross multiply
    219.54x = 328.34 × 195.32
  4. Step 4: Simplify right side
    219.54x = 64,131.37
  5. Step 5: Solve for x
    x = 64,131.37/219.54
  6. Step 6: Final answer
    x = 292.12

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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.