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Finding the Fourth Proportional to 339.86, 506.56 and 339.32

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Solution

The fourth proportional to 339.86, 506.56 and 339.32 is: 505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.86 : 506.56 = 339.32 : x
  2. Step 2: Convert to fraction form
    339.86/506.56 = 339.32/x
  3. Step 3: Cross multiply
    339.86x = 506.56 × 339.32
  4. Step 4: Simplify right side
    339.86x = 171,885.94
  5. Step 5: Solve for x
    x = 171,885.94/339.86
  6. Step 6: Final answer
    x = 505.76

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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.