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Finding the Fourth Proportional to 160.17, 238.94 and 140.73

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Solution

The fourth proportional to 160.17, 238.94 and 140.73 is: 209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.17 : 238.94 = 140.73 : x
  2. Step 2: Convert to fraction form
    160.17/238.94 = 140.73/x
  3. Step 3: Cross multiply
    160.17x = 238.94 × 140.73
  4. Step 4: Simplify right side
    160.17x = 33,625.32
  5. Step 5: Solve for x
    x = 33,625.32/160.17
  6. Step 6: Final answer
    x = 209.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.