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Finding the Fourth Proportional to 163.23, 223.96 and 152.29

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Solution

The fourth proportional to 163.23, 223.96 and 152.29 is: 208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.23 : 223.96 = 152.29 : x
  2. Step 2: Convert to fraction form
    163.23/223.96 = 152.29/x
  3. Step 3: Cross multiply
    163.23x = 223.96 × 152.29
  4. Step 4: Simplify right side
    163.23x = 34,106.87
  5. Step 5: Solve for x
    x = 34,106.87/163.23
  6. Step 6: Final answer
    x = 208.95

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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.