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Finding the Fourth Proportional to 187.29, 282.72 and 186.21

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Solution

The fourth proportional to 187.29, 282.72 and 186.21 is: 281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.29 : 282.72 = 186.21 : x
  2. Step 2: Convert to fraction form
    187.29/282.72 = 186.21/x
  3. Step 3: Cross multiply
    187.29x = 282.72 × 186.21
  4. Step 4: Simplify right side
    187.29x = 52,645.29
  5. Step 5: Solve for x
    x = 52,645.29/187.29
  6. Step 6: Final answer
    x = 281.09

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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.