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Finding the Fourth Proportional to 339.97, 469.19 and 192.65

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Solution

The fourth proportional to 339.97, 469.19 and 192.65 is: 265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.97 : 469.19 = 192.65 : x
  2. Step 2: Convert to fraction form
    339.97/469.19 = 192.65/x
  3. Step 3: Cross multiply
    339.97x = 469.19 × 192.65
  4. Step 4: Simplify right side
    339.97x = 90,391.55
  5. Step 5: Solve for x
    x = 90,391.55/339.97
  6. Step 6: Final answer
    x = 265.88

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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.