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Finding the Fourth Proportional to 339.69, 506.28 and 331.05

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Solution

The fourth proportional to 339.69, 506.28 and 331.05 is: 493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.69 : 506.28 = 331.05 : x
  2. Step 2: Convert to fraction form
    339.69/506.28 = 331.05/x
  3. Step 3: Cross multiply
    339.69x = 506.28 × 331.05
  4. Step 4: Simplify right side
    339.69x = 167,603.99
  5. Step 5: Solve for x
    x = 167,603.99/339.69
  6. Step 6: Final answer
    x = 493.40

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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.