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Finding the Fourth Proportional to 187.56, 279.96 and 168.12

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Solution

The fourth proportional to 187.56, 279.96 and 168.12 is: 250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.56 : 279.96 = 168.12 : x
  2. Step 2: Convert to fraction form
    187.56/279.96 = 168.12/x
  3. Step 3: Cross multiply
    187.56x = 279.96 × 168.12
  4. Step 4: Simplify right side
    187.56x = 47,066.88
  5. Step 5: Solve for x
    x = 47,066.88/187.56
  6. Step 6: Final answer
    x = 250.94

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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.