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Finding the Fourth Proportional to 418.20, 576.12 and 339.36

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Solution

The fourth proportional to 418.20, 576.12 and 339.36 is: 467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 576.12 = 339.36 : x
  2. Step 2: Convert to fraction form
    418.20/576.12 = 339.36/x
  3. Step 3: Cross multiply
    418.20x = 576.12 × 339.36
  4. Step 4: Simplify right side
    418.20x = 195,512.08
  5. Step 5: Solve for x
    x = 195,512.08/418.20
  6. Step 6: Final answer
    x = 467.51

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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.