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Finding the Fourth Proportional to 160.71, 242 and 115.37

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Solution

The fourth proportional to 160.71, 242 and 115.37 is: 173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.71 : 242 = 115.37 : x
  2. Step 2: Convert to fraction form
    160.71/242 = 115.37/x
  3. Step 3: Cross multiply
    160.71x = 242 × 115.37
  4. Step 4: Simplify right side
    160.71x = 27,920.15
  5. Step 5: Solve for x
    x = 27,920.15/160.71
  6. Step 6: Final answer
    x = 173.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.