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Finding the Fourth Proportional to 160.48, 222.43 and 157.87

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Solution

The fourth proportional to 160.48, 222.43 and 157.87 is: 218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.48 : 222.43 = 157.87 : x
  2. Step 2: Convert to fraction form
    160.48/222.43 = 157.87/x
  3. Step 3: Cross multiply
    160.48x = 222.43 × 157.87
  4. Step 4: Simplify right side
    160.48x = 35,115.02
  5. Step 5: Solve for x
    x = 35,115.02/160.48
  6. Step 6: Final answer
    x = 218.81

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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.