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Finding the Fourth Proportional to 323.08, 442.88 and 317.44

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Solution

The fourth proportional to 323.08, 442.88 and 317.44 is: 435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.08 : 442.88 = 317.44 : x
  2. Step 2: Convert to fraction form
    323.08/442.88 = 317.44/x
  3. Step 3: Cross multiply
    323.08x = 442.88 × 317.44
  4. Step 4: Simplify right side
    323.08x = 140,587.83
  5. Step 5: Solve for x
    x = 140,587.83/323.08
  6. Step 6: Final answer
    x = 435.15

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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.