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Finding the Fourth Proportional to 160.76, 222 and 122.24

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Solution

The fourth proportional to 160.76, 222 and 122.24 is: 168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.76 : 222 = 122.24 : x
  2. Step 2: Convert to fraction form
    160.76/222 = 122.24/x
  3. Step 3: Cross multiply
    160.76x = 222 × 122.24
  4. Step 4: Simplify right side
    160.76x = 27,137.28
  5. Step 5: Solve for x
    x = 27,137.28/160.76
  6. Step 6: Final answer
    x = 168.81

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Find fourth proportional to 80.38, 111 and 61.12
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1.5x scale

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.