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Finding the Fourth Proportional to 339.32, 468.23 and 199.44

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Solution

The fourth proportional to 339.32, 468.23 and 199.44 is: 275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.32 : 468.23 = 199.44 : x
  2. Step 2: Convert to fraction form
    339.32/468.23 = 199.44/x
  3. Step 3: Cross multiply
    339.32x = 468.23 × 199.44
  4. Step 4: Simplify right side
    339.32x = 93,382.79
  5. Step 5: Solve for x
    x = 93,382.79/339.32
  6. Step 6: Final answer
    x = 275.21

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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.