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Finding the Fourth Proportional to 339.50, 467.48 and 290.27

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Solution

The fourth proportional to 339.50, 467.48 and 290.27 is: 399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.50 : 467.48 = 290.27 : x
  2. Step 2: Convert to fraction form
    339.50/467.48 = 290.27/x
  3. Step 3: Cross multiply
    339.50x = 467.48 × 290.27
  4. Step 4: Simplify right side
    339.50x = 135,691.63
  5. Step 5: Solve for x
    x = 135,691.63/339.50
  6. Step 6: Final answer
    x = 399.69

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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.