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Finding the Fourth Proportional to 339.23, 467.20 and 317.27

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Solution

The fourth proportional to 339.23, 467.20 and 317.27 is: 436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.23 : 467.20 = 317.27 : x
  2. Step 2: Convert to fraction form
    339.23/467.20 = 317.27/x
  3. Step 3: Cross multiply
    339.23x = 467.20 × 317.27
  4. Step 4: Simplify right side
    339.23x = 148,228.54
  5. Step 5: Solve for x
    x = 148,228.54/339.23
  6. Step 6: Final answer
    x = 436.96

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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.