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Finding the Fourth Proportional to 339.11, 505.91 and 314.30

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Solution

The fourth proportional to 339.11, 505.91 and 314.30 is: 468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.11 : 505.91 = 314.30 : x
  2. Step 2: Convert to fraction form
    339.11/505.91 = 314.30/x
  3. Step 3: Cross multiply
    339.11x = 505.91 × 314.30
  4. Step 4: Simplify right side
    339.11x = 159,003.41
  5. Step 5: Solve for x
    x = 159,003.41/339.11
  6. Step 6: Final answer
    x = 468.89

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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.