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Finding the Fourth Proportional to 339.86, 506.23 and 335.66

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Solution

The fourth proportional to 339.86, 506.23 and 335.66 is: 499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.86 : 506.23 = 335.66 : x
  2. Step 2: Convert to fraction form
    339.86/506.23 = 335.66/x
  3. Step 3: Cross multiply
    339.86x = 506.23 × 335.66
  4. Step 4: Simplify right side
    339.86x = 169,921.16
  5. Step 5: Solve for x
    x = 169,921.16/339.86
  6. Step 6: Final answer
    x = 499.97

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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.