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Finding the Fourth Proportional to 220.09, 303.37 and 167.46

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Solution

The fourth proportional to 220.09, 303.37 and 167.46 is: 230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.09 : 303.37 = 167.46 : x
  2. Step 2: Convert to fraction form
    220.09/303.37 = 167.46/x
  3. Step 3: Cross multiply
    220.09x = 303.37 × 167.46
  4. Step 4: Simplify right side
    220.09x = 50,802.34
  5. Step 5: Solve for x
    x = 50,802.34/220.09
  6. Step 6: Final answer
    x = 230.83

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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.