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Finding the Fourth Proportional to 216.49, 298.90 and 166.61

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Solution

The fourth proportional to 216.49, 298.90 and 166.61 is: 230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.49 : 298.90 = 166.61 : x
  2. Step 2: Convert to fraction form
    216.49/298.90 = 166.61/x
  3. Step 3: Cross multiply
    216.49x = 298.90 × 166.61
  4. Step 4: Simplify right side
    216.49x = 49,797.82
  5. Step 5: Solve for x
    x = 49,797.82/216.49
  6. Step 6: Final answer
    x = 230.03

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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.