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Finding the Fourth Proportional to 339.40, 468.12 and 329.86

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Solution

The fourth proportional to 339.40, 468.12 and 329.86 is: 454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.40 : 468.12 = 329.86 : x
  2. Step 2: Convert to fraction form
    339.40/468.12 = 329.86/x
  3. Step 3: Cross multiply
    339.40x = 468.12 × 329.86
  4. Step 4: Simplify right side
    339.40x = 154,414.06
  5. Step 5: Solve for x
    x = 154,414.06/339.40
  6. Step 6: Final answer
    x = 454.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.