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Finding the Fourth Proportional to 343.27, 511.45 and 339.86

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Solution

The fourth proportional to 343.27, 511.45 and 339.86 is: 506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.27 : 511.45 = 339.86 : x
  2. Step 2: Convert to fraction form
    343.27/511.45 = 339.86/x
  3. Step 3: Cross multiply
    343.27x = 511.45 × 339.86
  4. Step 4: Simplify right side
    343.27x = 173,821.83
  5. Step 5: Solve for x
    x = 173,821.83/343.27
  6. Step 6: Final answer
    x = 506.37

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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.