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Finding the Fourth Proportional to 163.49, 223.49 and 163.49

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Solution

The fourth proportional to 163.49, 223.49 and 163.49 is: 223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.49 : 223.49 = 163.49 : x
  2. Step 2: Convert to fraction form
    163.49/223.49 = 163.49/x
  3. Step 3: Cross multiply
    163.49x = 223.49 × 163.49
  4. Step 4: Simplify right side
    163.49x = 36,537.67
  5. Step 5: Solve for x
    x = 36,537.67/163.49
  6. Step 6: Final answer
    x = 223.49

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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.