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Finding the Fourth Proportional to 160.64, 221.62 and 116.90

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Solution

The fourth proportional to 160.64, 221.62 and 116.90 is: 161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.64 : 221.62 = 116.90 : x
  2. Step 2: Convert to fraction form
    160.64/221.62 = 116.90/x
  3. Step 3: Cross multiply
    160.64x = 221.62 × 116.90
  4. Step 4: Simplify right side
    160.64x = 25,907.38
  5. Step 5: Solve for x
    x = 25,907.38/160.64
  6. Step 6: Final answer
    x = 161.28

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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.