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Finding the Fourth Proportional to 344.39, 512.19 and 340.74

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Solution

The fourth proportional to 344.39, 512.19 and 340.74 is: 506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.39 : 512.19 = 340.74 : x
  2. Step 2: Convert to fraction form
    344.39/512.19 = 340.74/x
  3. Step 3: Cross multiply
    344.39x = 512.19 × 340.74
  4. Step 4: Simplify right side
    344.39x = 174,523.62
  5. Step 5: Solve for x
    x = 174,523.62/344.39
  6. Step 6: Final answer
    x = 506.77

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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.