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Finding the Fourth Proportional to 341.70, 512.13 and 219.78

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Solution

The fourth proportional to 341.70, 512.13 and 219.78 is: 329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.70 : 512.13 = 219.78 : x
  2. Step 2: Convert to fraction form
    341.70/512.13 = 219.78/x
  3. Step 3: Cross multiply
    341.70x = 512.13 × 219.78
  4. Step 4: Simplify right side
    341.70x = 112,555.93
  5. Step 5: Solve for x
    x = 112,555.93/341.70
  6. Step 6: Final answer
    x = 329.40

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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.