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Finding the Fourth Proportional to 160.20, 239.93 and 141.73

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Solution

The fourth proportional to 160.20, 239.93 and 141.73 is: 212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.20 : 239.93 = 141.73 : x
  2. Step 2: Convert to fraction form
    160.20/239.93 = 141.73/x
  3. Step 3: Cross multiply
    160.20x = 239.93 × 141.73
  4. Step 4: Simplify right side
    160.20x = 34,005.03
  5. Step 5: Solve for x
    x = 34,005.03/160.20
  6. Step 6: Final answer
    x = 212.27

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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.