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Finding the Fourth Proportional to 160.56, 220.31 and 159.03

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Solution

The fourth proportional to 160.56, 220.31 and 159.03 is: 218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.56 : 220.31 = 159.03 : x
  2. Step 2: Convert to fraction form
    160.56/220.31 = 159.03/x
  3. Step 3: Cross multiply
    160.56x = 220.31 × 159.03
  4. Step 4: Simplify right side
    160.56x = 35,035.90
  5. Step 5: Solve for x
    x = 35,035.90/160.56
  6. Step 6: Final answer
    x = 218.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.