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Finding the Fourth Proportional to 187.44, 279.96 and 148.97

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Solution

The fourth proportional to 187.44, 279.96 and 148.97 is: 222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.44 : 279.96 = 148.97 : x
  2. Step 2: Convert to fraction form
    187.44/279.96 = 148.97/x
  3. Step 3: Cross multiply
    187.44x = 279.96 × 148.97
  4. Step 4: Simplify right side
    187.44x = 41,704.24
  5. Step 5: Solve for x
    x = 41,704.24/187.44
  6. Step 6: Final answer
    x = 222.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.