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Finding the Fourth Proportional to 160.38, 221.38 and 105.16

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Solution

The fourth proportional to 160.38, 221.38 and 105.16 is: 145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.38 : 221.38 = 105.16 : x
  2. Step 2: Convert to fraction form
    160.38/221.38 = 105.16/x
  3. Step 3: Cross multiply
    160.38x = 221.38 × 105.16
  4. Step 4: Simplify right side
    160.38x = 23,280.32
  5. Step 5: Solve for x
    x = 23,280.32/160.38
  6. Step 6: Final answer
    x = 145.16

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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.