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Finding the Fourth Proportional to 238.20, 355.80 and 204.06

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Solution

The fourth proportional to 238.20, 355.80 and 204.06 is: 304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.20 : 355.80 = 204.06 : x
  2. Step 2: Convert to fraction form
    238.20/355.80 = 204.06/x
  3. Step 3: Cross multiply
    238.20x = 355.80 × 204.06
  4. Step 4: Simplify right side
    238.20x = 72,604.55
  5. Step 5: Solve for x
    x = 72,604.55/238.20
  6. Step 6: Final answer
    x = 304.80

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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.