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Finding the Fourth Proportional to 163.61, 224.36 and 157.47

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Solution

The fourth proportional to 163.61, 224.36 and 157.47 is: 215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.61 : 224.36 = 157.47 : x
  2. Step 2: Convert to fraction form
    163.61/224.36 = 157.47/x
  3. Step 3: Cross multiply
    163.61x = 224.36 × 157.47
  4. Step 4: Simplify right side
    163.61x = 35,329.97
  5. Step 5: Solve for x
    x = 35,329.97/163.61
  6. Step 6: Final answer
    x = 215.94

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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.