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Finding the Fourth Proportional to 187.58, 279.94 and 167.08

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Solution

The fourth proportional to 187.58, 279.94 and 167.08 is: 249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.58 : 279.94 = 167.08 : x
  2. Step 2: Convert to fraction form
    187.58/279.94 = 167.08/x
  3. Step 3: Cross multiply
    187.58x = 279.94 × 167.08
  4. Step 4: Simplify right side
    187.58x = 46,773.35
  5. Step 5: Solve for x
    x = 46,773.35/187.58
  6. Step 6: Final answer
    x = 249.35

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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.