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Finding the Fourth Proportional to 187.86, 280.55 and 168.72

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Solution

The fourth proportional to 187.86, 280.55 and 168.72 is: 251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.86 : 280.55 = 168.72 : x
  2. Step 2: Convert to fraction form
    187.86/280.55 = 168.72/x
  3. Step 3: Cross multiply
    187.86x = 280.55 × 168.72
  4. Step 4: Simplify right side
    187.86x = 47,334.40
  5. Step 5: Solve for x
    x = 47,334.40/187.86
  6. Step 6: Final answer
    x = 251.97

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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.