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Finding the Fourth Proportional to 160.32, 222.17 and 157.89

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Solution

The fourth proportional to 160.32, 222.17 and 157.89 is: 218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.32 : 222.17 = 157.89 : x
  2. Step 2: Convert to fraction form
    160.32/222.17 = 157.89/x
  3. Step 3: Cross multiply
    160.32x = 222.17 × 157.89
  4. Step 4: Simplify right side
    160.32x = 35,078.82
  5. Step 5: Solve for x
    x = 35,078.82/160.32
  6. Step 6: Final answer
    x = 218.80

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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.