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Finding the Fourth Proportional to 341.57, 512.31 and 323.78

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Solution

The fourth proportional to 341.57, 512.31 and 323.78 is: 485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.57 : 512.31 = 323.78 : x
  2. Step 2: Convert to fraction form
    341.57/512.31 = 323.78/x
  3. Step 3: Cross multiply
    341.57x = 512.31 × 323.78
  4. Step 4: Simplify right side
    341.57x = 165,873.17
  5. Step 5: Solve for x
    x = 165,873.17/341.57
  6. Step 6: Final answer
    x = 485.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.