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Finding the Fourth Proportional to 187.59, 279.94 and 167.14

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Solution

The fourth proportional to 187.59, 279.94 and 167.14 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.59 : 279.94 = 167.14 : x
  2. Step 2: Convert to fraction form
    187.59/279.94 = 167.14/x
  3. Step 3: Cross multiply
    187.59x = 279.94 × 167.14
  4. Step 4: Simplify right side
    187.59x = 46,788.05
  5. Step 5: Solve for x
    x = 46,788.05/187.59
  6. Step 6: Final answer
    x = 249.42

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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.