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Finding the Fourth Proportional to 339.20, 467.64 and 280.88

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Solution

The fourth proportional to 339.20, 467.64 and 280.88 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.20 : 467.64 = 280.88 : x
  2. Step 2: Convert to fraction form
    339.20/467.64 = 280.88/x
  3. Step 3: Cross multiply
    339.20x = 467.64 × 280.88
  4. Step 4: Simplify right side
    339.20x = 131,350.72
  5. Step 5: Solve for x
    x = 131,350.72/339.20
  6. Step 6: Final answer
    x = 387.24

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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.