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Finding the Fourth Proportional to 323.08, 483.88 and 214.56

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Solution

The fourth proportional to 323.08, 483.88 and 214.56 is: 321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.08 : 483.88 = 214.56 : x
  2. Step 2: Convert to fraction form
    323.08/483.88 = 214.56/x
  3. Step 3: Cross multiply
    323.08x = 483.88 × 214.56
  4. Step 4: Simplify right side
    323.08x = 103,821.29
  5. Step 5: Solve for x
    x = 103,821.29/323.08
  6. Step 6: Final answer
    x = 321.35

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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.