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Finding the Fourth Proportional to 216.77, 324.56 and 147.21

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Solution

The fourth proportional to 216.77, 324.56 and 147.21 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.77 : 324.56 = 147.21 : x
  2. Step 2: Convert to fraction form
    216.77/324.56 = 147.21/x
  3. Step 3: Cross multiply
    216.77x = 324.56 × 147.21
  4. Step 4: Simplify right side
    216.77x = 47,778.85
  5. Step 5: Solve for x
    x = 47,778.85/216.77
  6. Step 6: Final answer
    x = 220.42

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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.