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Finding the Fourth Proportional to 163.06, 223.75 and 160.18

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Solution

The fourth proportional to 163.06, 223.75 and 160.18 is: 219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.06 : 223.75 = 160.18 : x
  2. Step 2: Convert to fraction form
    163.06/223.75 = 160.18/x
  3. Step 3: Cross multiply
    163.06x = 223.75 × 160.18
  4. Step 4: Simplify right side
    163.06x = 35,840.28
  5. Step 5: Solve for x
    x = 35,840.28/163.06
  6. Step 6: Final answer
    x = 219.80

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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.