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Finding the Fourth Proportional to 339.27, 467.76 and 234.39

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Solution

The fourth proportional to 339.27, 467.76 and 234.39 is: 323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.27 : 467.76 = 234.39 : x
  2. Step 2: Convert to fraction form
    339.27/467.76 = 234.39/x
  3. Step 3: Cross multiply
    339.27x = 467.76 × 234.39
  4. Step 4: Simplify right side
    339.27x = 109,638.27
  5. Step 5: Solve for x
    x = 109,638.27/339.27
  6. Step 6: Final answer
    x = 323.16

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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.