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Finding the Fourth Proportional to 238.94, 329.76 and 145.71

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Solution

The fourth proportional to 238.94, 329.76 and 145.71 is: 201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.94 : 329.76 = 145.71 : x
  2. Step 2: Convert to fraction form
    238.94/329.76 = 145.71/x
  3. Step 3: Cross multiply
    238.94x = 329.76 × 145.71
  4. Step 4: Simplify right side
    238.94x = 48,049.33
  5. Step 5: Solve for x
    x = 48,049.33/238.94
  6. Step 6: Final answer
    x = 201.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.