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Finding the Fourth Proportional to 160.14, 238.32 and 154.38

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Solution

The fourth proportional to 160.14, 238.32 and 154.38 is: 229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.14 : 238.32 = 154.38 : x
  2. Step 2: Convert to fraction form
    160.14/238.32 = 154.38/x
  3. Step 3: Cross multiply
    160.14x = 238.32 × 154.38
  4. Step 4: Simplify right side
    160.14x = 36,791.84
  5. Step 5: Solve for x
    x = 36,791.84/160.14
  6. Step 6: Final answer
    x = 229.75

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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.