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Finding the Fourth Proportional to 238.88, 329.75 and 145.65

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Solution

The fourth proportional to 238.88, 329.75 and 145.65 is: 201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.88 : 329.75 = 145.65 : x
  2. Step 2: Convert to fraction form
    238.88/329.75 = 145.65/x
  3. Step 3: Cross multiply
    238.88x = 329.75 × 145.65
  4. Step 4: Simplify right side
    238.88x = 48,029.96
  5. Step 5: Solve for x
    x = 48,029.96/238.88
  6. Step 6: Final answer
    x = 201.07

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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.