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Finding the Fourth Proportional to 217.80, 328.40 and 215.44

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Solution

The fourth proportional to 217.80, 328.40 and 215.44 is: 324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.80 : 328.40 = 215.44 : x
  2. Step 2: Convert to fraction form
    217.80/328.40 = 215.44/x
  3. Step 3: Cross multiply
    217.80x = 328.40 × 215.44
  4. Step 4: Simplify right side
    217.80x = 70,750.50
  5. Step 5: Solve for x
    x = 70,750.50/217.80
  6. Step 6: Final answer
    x = 324.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.