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Finding the Fourth Proportional to 216.86, 299.62 and 161.78

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Solution

The fourth proportional to 216.86, 299.62 and 161.78 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.86 : 299.62 = 161.78 : x
  2. Step 2: Convert to fraction form
    216.86/299.62 = 161.78/x
  3. Step 3: Cross multiply
    216.86x = 299.62 × 161.78
  4. Step 4: Simplify right side
    216.86x = 48,472.52
  5. Step 5: Solve for x
    x = 48,472.52/216.86
  6. Step 6: Final answer
    x = 223.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.