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Finding the Fourth Proportional to 187.16, 280.87 and 109.17

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Solution

The fourth proportional to 187.16, 280.87 and 109.17 is: 163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.16 : 280.87 = 109.17 : x
  2. Step 2: Convert to fraction form
    187.16/280.87 = 109.17/x
  3. Step 3: Cross multiply
    187.16x = 280.87 × 109.17
  4. Step 4: Simplify right side
    187.16x = 30,662.30
  5. Step 5: Solve for x
    x = 30,662.30/187.16
  6. Step 6: Final answer
    x = 163.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.