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Finding the Fourth Proportional to 216.44, 324.36 and 155.30

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Solution

The fourth proportional to 216.44, 324.36 and 155.30 is: 232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.44 : 324.36 = 155.30 : x
  2. Step 2: Convert to fraction form
    216.44/324.36 = 155.30/x
  3. Step 3: Cross multiply
    216.44x = 324.36 × 155.30
  4. Step 4: Simplify right side
    216.44x = 50,373.11
  5. Step 5: Solve for x
    x = 50,373.11/216.44
  6. Step 6: Final answer
    x = 232.73

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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.