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Finding the Fourth Proportional to 216.14, 324.02 and 106.39

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Solution

The fourth proportional to 216.14, 324.02 and 106.39 is: 159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.14 : 324.02 = 106.39 : x
  2. Step 2: Convert to fraction form
    216.14/324.02 = 106.39/x
  3. Step 3: Cross multiply
    216.14x = 324.02 × 106.39
  4. Step 4: Simplify right side
    216.14x = 34,472.49
  5. Step 5: Solve for x
    x = 34,472.49/216.14
  6. Step 6: Final answer
    x = 159.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.