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Finding the Fourth Proportional to 163.69, 224.94 and 130.89

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Solution

The fourth proportional to 163.69, 224.94 and 130.89 is: 179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.69 : 224.94 = 130.89 : x
  2. Step 2: Convert to fraction form
    163.69/224.94 = 130.89/x
  3. Step 3: Cross multiply
    163.69x = 224.94 × 130.89
  4. Step 4: Simplify right side
    163.69x = 29,441.73
  5. Step 5: Solve for x
    x = 29,441.73/163.69
  6. Step 6: Final answer
    x = 179.86

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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.