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Finding the Fourth Proportional to 187.48, 282.72 and 186.27

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Solution

The fourth proportional to 187.48, 282.72 and 186.27 is: 280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.48 : 282.72 = 186.27 : x
  2. Step 2: Convert to fraction form
    187.48/282.72 = 186.27/x
  3. Step 3: Cross multiply
    187.48x = 282.72 × 186.27
  4. Step 4: Simplify right side
    187.48x = 52,661.89
  5. Step 5: Solve for x
    x = 52,661.89/187.48
  6. Step 6: Final answer
    x = 280.89

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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.