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Finding the Fourth Proportional to 339.23, 467.60 and 310.98

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Solution

The fourth proportional to 339.23, 467.60 and 310.98 is: 428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.23 : 467.60 = 310.98 : x
  2. Step 2: Convert to fraction form
    339.23/467.60 = 310.98/x
  3. Step 3: Cross multiply
    339.23x = 467.60 × 310.98
  4. Step 4: Simplify right side
    339.23x = 145,414.25
  5. Step 5: Solve for x
    x = 145,414.25/339.23
  6. Step 6: Final answer
    x = 428.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.