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Finding the Fourth Proportional to 216.81, 299.30 and 167.94

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Solution

The fourth proportional to 216.81, 299.30 and 167.94 is: 231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 299.30 = 167.94 : x
  2. Step 2: Convert to fraction form
    216.81/299.30 = 167.94/x
  3. Step 3: Cross multiply
    216.81x = 299.30 × 167.94
  4. Step 4: Simplify right side
    216.81x = 50,263.60
  5. Step 5: Solve for x
    x = 50,263.60/216.81
  6. Step 6: Final answer
    x = 231.83

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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.