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Finding the Fourth Proportional to 187.28, 280.28 and 106

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Solution

The fourth proportional to 187.28, 280.28 and 106 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.28 : 280.28 = 106 : x
  2. Step 2: Convert to fraction form
    187.28/280.28 = 106/x
  3. Step 3: Cross multiply
    187.28x = 280.28 × 106
  4. Step 4: Simplify right side
    187.28x = 29,709.68
  5. Step 5: Solve for x
    x = 29,709.68/187.28
  6. Step 6: Final answer
    x = 158.64

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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.