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Finding the Fourth Proportional to 216.53, 298.89 and 133.67

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Solution

The fourth proportional to 216.53, 298.89 and 133.67 is: 184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.53 : 298.89 = 133.67 : x
  2. Step 2: Convert to fraction form
    216.53/298.89 = 133.67/x
  3. Step 3: Cross multiply
    216.53x = 298.89 × 133.67
  4. Step 4: Simplify right side
    216.53x = 39,951.13
  5. Step 5: Solve for x
    x = 39,951.13/216.53
  6. Step 6: Final answer
    x = 184.51

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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.