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Finding the Fourth Proportional to 187.07, 282.27 and 179.57

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Solution

The fourth proportional to 187.07, 282.27 and 179.57 is: 270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.07 : 282.27 = 179.57 : x
  2. Step 2: Convert to fraction form
    187.07/282.27 = 179.57/x
  3. Step 3: Cross multiply
    187.07x = 282.27 × 179.57
  4. Step 4: Simplify right side
    187.07x = 50,688.38
  5. Step 5: Solve for x
    x = 50,688.38/187.07
  6. Step 6: Final answer
    x = 270.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.