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Finding the Fourth Proportional to 238.72, 356.15 and 204.08

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Solution

The fourth proportional to 238.72, 356.15 and 204.08 is: 304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.72 : 356.15 = 204.08 : x
  2. Step 2: Convert to fraction form
    238.72/356.15 = 204.08/x
  3. Step 3: Cross multiply
    238.72x = 356.15 × 204.08
  4. Step 4: Simplify right side
    238.72x = 72,683.09
  5. Step 5: Solve for x
    x = 72,683.09/238.72
  6. Step 6: Final answer
    x = 304.47

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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.