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Finding the Fourth Proportional to 216.21, 298.42 and 133.39

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Solution

The fourth proportional to 216.21, 298.42 and 133.39 is: 184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.21 : 298.42 = 133.39 : x
  2. Step 2: Convert to fraction form
    216.21/298.42 = 133.39/x
  3. Step 3: Cross multiply
    216.21x = 298.42 × 133.39
  4. Step 4: Simplify right side
    216.21x = 39,806.24
  5. Step 5: Solve for x
    x = 39,806.24/216.21
  6. Step 6: Final answer
    x = 184.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.