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Finding the Fourth Proportional to 217.34, 328.48 and 213.56

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Solution

The fourth proportional to 217.34, 328.48 and 213.56 is: 322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.34 : 328.48 = 213.56 : x
  2. Step 2: Convert to fraction form
    217.34/328.48 = 213.56/x
  3. Step 3: Cross multiply
    217.34x = 328.48 × 213.56
  4. Step 4: Simplify right side
    217.34x = 70,149.12
  5. Step 5: Solve for x
    x = 70,149.12/217.34
  6. Step 6: Final answer
    x = 322.76

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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.