Home / 160.16-221.12-121.28

Finding the Fourth Proportional to 160.16, 221.12 and 121.28

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Solution

The fourth proportional to 160.16, 221.12 and 121.28 is: 167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 221.12 = 121.28 : x
  2. Step 2: Convert to fraction form
    160.16/221.12 = 121.28/x
  3. Step 3: Cross multiply
    160.16x = 221.12 × 121.28
  4. Step 4: Simplify right side
    160.16x = 26,817.43
  5. Step 5: Solve for x
    x = 26,817.43/160.16
  6. Step 6: Final answer
    x = 167.44

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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.