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Finding the Fourth Proportional to 347.78, 518.15 and 344.36

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Solution

The fourth proportional to 347.78, 518.15 and 344.36 is: 513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.78 : 518.15 = 344.36 : x
  2. Step 2: Convert to fraction form
    347.78/518.15 = 344.36/x
  3. Step 3: Cross multiply
    347.78x = 518.15 × 344.36
  4. Step 4: Simplify right side
    347.78x = 178,432.29
  5. Step 5: Solve for x
    x = 178,432.29/347.78
  6. Step 6: Final answer
    x = 513.06

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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.