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Finding the Fourth Proportional to 216.96, 298.02 and 213.93

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Solution

The fourth proportional to 216.96, 298.02 and 213.93 is: 293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.96 : 298.02 = 213.93 : x
  2. Step 2: Convert to fraction form
    216.96/298.02 = 213.93/x
  3. Step 3: Cross multiply
    216.96x = 298.02 × 213.93
  4. Step 4: Simplify right side
    216.96x = 63,755.42
  5. Step 5: Solve for x
    x = 63,755.42/216.96
  6. Step 6: Final answer
    x = 293.86

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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.