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Finding the Fourth Proportional to 187.33, 281 and 71.71

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Solution

The fourth proportional to 187.33, 281 and 71.71 is: 107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.33 : 281 = 71.71 : x
  2. Step 2: Convert to fraction form
    187.33/281 = 71.71/x
  3. Step 3: Cross multiply
    187.33x = 281 × 71.71
  4. Step 4: Simplify right side
    187.33x = 20,150.51
  5. Step 5: Solve for x
    x = 20,150.51/187.33
  6. Step 6: Final answer
    x = 107.57

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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.