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Finding the Fourth Proportional to 216.57, 298.17 and 172.83

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Solution

The fourth proportional to 216.57, 298.17 and 172.83 is: 237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.57 : 298.17 = 172.83 : x
  2. Step 2: Convert to fraction form
    216.57/298.17 = 172.83/x
  3. Step 3: Cross multiply
    216.57x = 298.17 × 172.83
  4. Step 4: Simplify right side
    216.57x = 51,532.72
  5. Step 5: Solve for x
    x = 51,532.72/216.57
  6. Step 6: Final answer
    x = 237.95

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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.