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Finding the Fourth Proportional to 187.38, 277.56 and 185.22

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Solution

The fourth proportional to 187.38, 277.56 and 185.22 is: 274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.38 : 277.56 = 185.22 : x
  2. Step 2: Convert to fraction form
    187.38/277.56 = 185.22/x
  3. Step 3: Cross multiply
    187.38x = 277.56 × 185.22
  4. Step 4: Simplify right side
    187.38x = 51,409.66
  5. Step 5: Solve for x
    x = 51,409.66/187.38
  6. Step 6: Final answer
    x = 274.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.