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Finding the Fourth Proportional to 344.78, 513.68 and 341.37

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Solution

The fourth proportional to 344.78, 513.68 and 341.37 is: 508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.78 : 513.68 = 341.37 : x
  2. Step 2: Convert to fraction form
    344.78/513.68 = 341.37/x
  3. Step 3: Cross multiply
    344.78x = 513.68 × 341.37
  4. Step 4: Simplify right side
    344.78x = 175,353.23
  5. Step 5: Solve for x
    x = 175,353.23/344.78
  6. Step 6: Final answer
    x = 508.60

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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.