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Finding the Fourth Proportional to 187.82, 280.21 and 167.30

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Solution

The fourth proportional to 187.82, 280.21 and 167.30 is: 249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.82 : 280.21 = 167.30 : x
  2. Step 2: Convert to fraction form
    187.82/280.21 = 167.30/x
  3. Step 3: Cross multiply
    187.82x = 280.21 × 167.30
  4. Step 4: Simplify right side
    187.82x = 46,877.31
  5. Step 5: Solve for x
    x = 46,877.31/187.82
  6. Step 6: Final answer
    x = 249.59

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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.