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Finding the Fourth Proportional to 163.59, 225.57 and 121.47

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Solution

The fourth proportional to 163.59, 225.57 and 121.47 is: 167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.59 : 225.57 = 121.47 : x
  2. Step 2: Convert to fraction form
    163.59/225.57 = 121.47/x
  3. Step 3: Cross multiply
    163.59x = 225.57 × 121.47
  4. Step 4: Simplify right side
    163.59x = 27,399.99
  5. Step 5: Solve for x
    x = 27,399.99/163.59
  6. Step 6: Final answer
    x = 167.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.