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Finding the Fourth Proportional to 339.78, 506.90 and 337.34

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Solution

The fourth proportional to 339.78, 506.90 and 337.34 is: 503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.78 : 506.90 = 337.34 : x
  2. Step 2: Convert to fraction form
    339.78/506.90 = 337.34/x
  3. Step 3: Cross multiply
    339.78x = 506.90 × 337.34
  4. Step 4: Simplify right side
    339.78x = 170,997.65
  5. Step 5: Solve for x
    x = 170,997.65/339.78
  6. Step 6: Final answer
    x = 503.26

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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.