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Finding the Fourth Proportional to 216.02, 299.37 and 211.92

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Solution

The fourth proportional to 216.02, 299.37 and 211.92 is: 293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.02 : 299.37 = 211.92 : x
  2. Step 2: Convert to fraction form
    216.02/299.37 = 211.92/x
  3. Step 3: Cross multiply
    216.02x = 299.37 × 211.92
  4. Step 4: Simplify right side
    216.02x = 63,439.93
  5. Step 5: Solve for x
    x = 63,439.93/216.02
  6. Step 6: Final answer
    x = 293.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.