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Finding the Fourth Proportional to 163.72, 224.43 and 160.77

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Solution

The fourth proportional to 163.72, 224.43 and 160.77 is: 220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.72 : 224.43 = 160.77 : x
  2. Step 2: Convert to fraction form
    163.72/224.43 = 160.77/x
  3. Step 3: Cross multiply
    163.72x = 224.43 × 160.77
  4. Step 4: Simplify right side
    163.72x = 36,082.66
  5. Step 5: Solve for x
    x = 36,082.66/163.72
  6. Step 6: Final answer
    x = 220.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.