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Finding the Fourth Proportional to 160.23, 239.90 and 119.03

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Solution

The fourth proportional to 160.23, 239.90 and 119.03 is: 178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.23 : 239.90 = 119.03 : x
  2. Step 2: Convert to fraction form
    160.23/239.90 = 119.03/x
  3. Step 3: Cross multiply
    160.23x = 239.90 × 119.03
  4. Step 4: Simplify right side
    160.23x = 28,553.50
  5. Step 5: Solve for x
    x = 28,553.50/160.23
  6. Step 6: Final answer
    x = 178.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.