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Finding the Fourth Proportional to 216.57, 323.27 and 187.88

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Solution

The fourth proportional to 216.57, 323.27 and 187.88 is: 280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.57 : 323.27 = 187.88 : x
  2. Step 2: Convert to fraction form
    216.57/323.27 = 187.88/x
  3. Step 3: Cross multiply
    216.57x = 323.27 × 187.88
  4. Step 4: Simplify right side
    216.57x = 60,737.25
  5. Step 5: Solve for x
    x = 60,737.25/216.57
  6. Step 6: Final answer
    x = 280.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.