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Finding the Fourth Proportional to 216.64, 321.34 and 213.40

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Solution

The fourth proportional to 216.64, 321.34 and 213.40 is: 316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.64 : 321.34 = 213.40 : x
  2. Step 2: Convert to fraction form
    216.64/321.34 = 213.40/x
  3. Step 3: Cross multiply
    216.64x = 321.34 × 213.40
  4. Step 4: Simplify right side
    216.64x = 68,573.96
  5. Step 5: Solve for x
    x = 68,573.96/216.64
  6. Step 6: Final answer
    x = 316.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.