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Finding the Fourth Proportional to 339.42, 468.42 and 206.68

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Solution

The fourth proportional to 339.42, 468.42 and 206.68 is: 285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.42 : 468.42 = 206.68 : x
  2. Step 2: Convert to fraction form
    339.42/468.42 = 206.68/x
  3. Step 3: Cross multiply
    339.42x = 468.42 × 206.68
  4. Step 4: Simplify right side
    339.42x = 96,813.05
  5. Step 5: Solve for x
    x = 96,813.05/339.42
  6. Step 6: Final answer
    x = 285.23

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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.