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Finding the Fourth Proportional to 217.16, 298.95 and 161.72

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Solution

The fourth proportional to 217.16, 298.95 and 161.72 is: 222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.16 : 298.95 = 161.72 : x
  2. Step 2: Convert to fraction form
    217.16/298.95 = 161.72/x
  3. Step 3: Cross multiply
    217.16x = 298.95 × 161.72
  4. Step 4: Simplify right side
    217.16x = 48,346.19
  5. Step 5: Solve for x
    x = 48,346.19/217.16
  6. Step 6: Final answer
    x = 222.63

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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.