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Finding the Fourth Proportional to 238.65, 329.22 and 155.76

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Solution

The fourth proportional to 238.65, 329.22 and 155.76 is: 214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.65 : 329.22 = 155.76 : x
  2. Step 2: Convert to fraction form
    238.65/329.22 = 155.76/x
  3. Step 3: Cross multiply
    238.65x = 329.22 × 155.76
  4. Step 4: Simplify right side
    238.65x = 51,279.31
  5. Step 5: Solve for x
    x = 51,279.31/238.65
  6. Step 6: Final answer
    x = 214.87

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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.