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Finding the Fourth Proportional to 160.34, 221.12 and 105.05

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Solution

The fourth proportional to 160.34, 221.12 and 105.05 is: 144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.34 : 221.12 = 105.05 : x
  2. Step 2: Convert to fraction form
    160.34/221.12 = 105.05/x
  3. Step 3: Cross multiply
    160.34x = 221.12 × 105.05
  4. Step 4: Simplify right side
    160.34x = 23,228.13
  5. Step 5: Solve for x
    x = 23,228.13/160.34
  6. Step 6: Final answer
    x = 144.87

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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.