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Finding the Fourth Proportional to 216.50, 324.31 and 100.78

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Solution

The fourth proportional to 216.50, 324.31 and 100.78 is: 150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.50 : 324.31 = 100.78 : x
  2. Step 2: Convert to fraction form
    216.50/324.31 = 100.78/x
  3. Step 3: Cross multiply
    216.50x = 324.31 × 100.78
  4. Step 4: Simplify right side
    216.50x = 32,683.96
  5. Step 5: Solve for x
    x = 32,683.96/216.50
  6. Step 6: Final answer
    x = 150.97

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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.