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Finding the Fourth Proportional to 160.18, 220.97 and 138.31

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Solution

The fourth proportional to 160.18, 220.97 and 138.31 is: 190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.18 : 220.97 = 138.31 : x
  2. Step 2: Convert to fraction form
    160.18/220.97 = 138.31/x
  3. Step 3: Cross multiply
    160.18x = 220.97 × 138.31
  4. Step 4: Simplify right side
    160.18x = 30,562.36
  5. Step 5: Solve for x
    x = 30,562.36/160.18
  6. Step 6: Final answer
    x = 190.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.