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Finding the Fourth Proportional to 339.49, 506.78 and 314.13

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Solution

The fourth proportional to 339.49, 506.78 and 314.13 is: 468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.49 : 506.78 = 314.13 : x
  2. Step 2: Convert to fraction form
    339.49/506.78 = 314.13/x
  3. Step 3: Cross multiply
    339.49x = 506.78 × 314.13
  4. Step 4: Simplify right side
    339.49x = 159,190.70
  5. Step 5: Solve for x
    x = 159,190.70/339.49
  6. Step 6: Final answer
    x = 468.91

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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.