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Finding the Fourth Proportional to 216.38, 324.59 and 100.80

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Solution

The fourth proportional to 216.38, 324.59 and 100.80 is: 151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.38 : 324.59 = 100.80 : x
  2. Step 2: Convert to fraction form
    216.38/324.59 = 100.80/x
  3. Step 3: Cross multiply
    216.38x = 324.59 × 100.80
  4. Step 4: Simplify right side
    216.38x = 32,718.67
  5. Step 5: Solve for x
    x = 32,718.67/216.38
  6. Step 6: Final answer
    x = 151.21

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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.