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Finding the Fourth Proportional to 215.92, 322.41 and 187.97

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Solution

The fourth proportional to 215.92, 322.41 and 187.97 is: 280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.92 : 322.41 = 187.97 : x
  2. Step 2: Convert to fraction form
    215.92/322.41 = 187.97/x
  3. Step 3: Cross multiply
    215.92x = 322.41 × 187.97
  4. Step 4: Simplify right side
    215.92x = 60,603.41
  5. Step 5: Solve for x
    x = 60,603.41/215.92
  6. Step 6: Final answer
    x = 280.68

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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.