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Finding the Fourth Proportional to 161.02, 221.97 and 105.74

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Solution

The fourth proportional to 161.02, 221.97 and 105.74 is: 145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.02 : 221.97 = 105.74 : x
  2. Step 2: Convert to fraction form
    161.02/221.97 = 105.74/x
  3. Step 3: Cross multiply
    161.02x = 221.97 × 105.74
  4. Step 4: Simplify right side
    161.02x = 23,470.00
  5. Step 5: Solve for x
    x = 23,470.00/161.02
  6. Step 6: Final answer
    x = 145.76

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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.