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Finding the Fourth Proportional to 344.70, 519.78 and 306.90

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Solution

The fourth proportional to 344.70, 519.78 and 306.90 is: 462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.70 : 519.78 = 306.90 : x
  2. Step 2: Convert to fraction form
    344.70/519.78 = 306.90/x
  3. Step 3: Cross multiply
    344.70x = 519.78 × 306.90
  4. Step 4: Simplify right side
    344.70x = 159,520.48
  5. Step 5: Solve for x
    x = 159,520.48/344.70
  6. Step 6: Final answer
    x = 462.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.