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Finding the Fourth Proportional to 160.30, 222.70 and 158.80

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Solution

The fourth proportional to 160.30, 222.70 and 158.80 is: 220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.30 : 222.70 = 158.80 : x
  2. Step 2: Convert to fraction form
    160.30/222.70 = 158.80/x
  3. Step 3: Cross multiply
    160.30x = 222.70 × 158.80
  4. Step 4: Simplify right side
    160.30x = 35,364.76
  5. Step 5: Solve for x
    x = 35,364.76/160.30
  6. Step 6: Final answer
    x = 220.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.