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Finding the Fourth Proportional to 187.86, 280.37 and 167.05

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Solution

The fourth proportional to 187.86, 280.37 and 167.05 is: 249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.86 : 280.37 = 167.05 : x
  2. Step 2: Convert to fraction form
    187.86/280.37 = 167.05/x
  3. Step 3: Cross multiply
    187.86x = 280.37 × 167.05
  4. Step 4: Simplify right side
    187.86x = 46,835.81
  5. Step 5: Solve for x
    x = 46,835.81/187.86
  6. Step 6: Final answer
    x = 249.31

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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.