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Finding the Fourth Proportional to 344.10, 512.32 and 339.25

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Solution

The fourth proportional to 344.10, 512.32 and 339.25 is: 505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.10 : 512.32 = 339.25 : x
  2. Step 2: Convert to fraction form
    344.10/512.32 = 339.25/x
  3. Step 3: Cross multiply
    344.10x = 512.32 × 339.25
  4. Step 4: Simplify right side
    344.10x = 173,805.58
  5. Step 5: Solve for x
    x = 173,805.58/344.10
  6. Step 6: Final answer
    x = 505.10

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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.