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Finding the Fourth Proportional to 187.72, 255.45 and 186.81

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Solution

The fourth proportional to 187.72, 255.45 and 186.81 is: 254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.72 : 255.45 = 186.81 : x
  2. Step 2: Convert to fraction form
    187.72/255.45 = 186.81/x
  3. Step 3: Cross multiply
    187.72x = 255.45 × 186.81
  4. Step 4: Simplify right side
    187.72x = 47,720.36
  5. Step 5: Solve for x
    x = 47,720.36/187.72
  6. Step 6: Final answer
    x = 254.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.