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Finding the Fourth Proportional to 187.20, 279.27 and 161.76

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Solution

The fourth proportional to 187.20, 279.27 and 161.76 is: 241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.20 : 279.27 = 161.76 : x
  2. Step 2: Convert to fraction form
    187.20/279.27 = 161.76/x
  3. Step 3: Cross multiply
    187.20x = 279.27 × 161.76
  4. Step 4: Simplify right side
    187.20x = 45,174.72
  5. Step 5: Solve for x
    x = 45,174.72/187.20
  6. Step 6: Final answer
    x = 241.32

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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.