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Finding the Fourth Proportional to 187.72, 260.29 and 180.16

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Solution

The fourth proportional to 187.72, 260.29 and 180.16 is: 249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.72 : 260.29 = 180.16 : x
  2. Step 2: Convert to fraction form
    187.72/260.29 = 180.16/x
  3. Step 3: Cross multiply
    187.72x = 260.29 × 180.16
  4. Step 4: Simplify right side
    187.72x = 46,893.85
  5. Step 5: Solve for x
    x = 46,893.85/187.72
  6. Step 6: Final answer
    x = 249.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.