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Finding the Fourth Proportional to 323.12, 442.90 and 317.42

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Solution

The fourth proportional to 323.12, 442.90 and 317.42 is: 435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.12 : 442.90 = 317.42 : x
  2. Step 2: Convert to fraction form
    323.12/442.90 = 317.42/x
  3. Step 3: Cross multiply
    323.12x = 442.90 × 317.42
  4. Step 4: Simplify right side
    323.12x = 140,585.32
  5. Step 5: Solve for x
    x = 140,585.32/323.12
  6. Step 6: Final answer
    x = 435.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.