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Finding the Fourth Proportional to 216.92, 298.95 and 161.57

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Solution

The fourth proportional to 216.92, 298.95 and 161.57 is: 222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.92 : 298.95 = 161.57 : x
  2. Step 2: Convert to fraction form
    216.92/298.95 = 161.57/x
  3. Step 3: Cross multiply
    216.92x = 298.95 × 161.57
  4. Step 4: Simplify right side
    216.92x = 48,301.35
  5. Step 5: Solve for x
    x = 48,301.35/216.92
  6. Step 6: Final answer
    x = 222.67

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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.