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Finding the Fourth Proportional to 160.31, 222.72 and 158.39

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Solution

The fourth proportional to 160.31, 222.72 and 158.39 is: 220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.31 : 222.72 = 158.39 : x
  2. Step 2: Convert to fraction form
    160.31/222.72 = 158.39/x
  3. Step 3: Cross multiply
    160.31x = 222.72 × 158.39
  4. Step 4: Simplify right side
    160.31x = 35,276.62
  5. Step 5: Solve for x
    x = 35,276.62/160.31
  6. Step 6: Final answer
    x = 220.05

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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.