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Finding the Fourth Proportional to 343.96, 512.64 and 343.44

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Solution

The fourth proportional to 343.96, 512.64 and 343.44 is: 511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.96 : 512.64 = 343.44 : x
  2. Step 2: Convert to fraction form
    343.96/512.64 = 343.44/x
  3. Step 3: Cross multiply
    343.96x = 512.64 × 343.44
  4. Step 4: Simplify right side
    343.96x = 176,061.08
  5. Step 5: Solve for x
    x = 176,061.08/343.96
  6. Step 6: Final answer
    x = 511.86

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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.