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Finding the Fourth Proportional to 300.78, 414.72 and 238.41

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Solution

The fourth proportional to 300.78, 414.72 and 238.41 is: 328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 414.72 = 238.41 : x
  2. Step 2: Convert to fraction form
    300.78/414.72 = 238.41/x
  3. Step 3: Cross multiply
    300.78x = 414.72 × 238.41
  4. Step 4: Simplify right side
    300.78x = 98,873.40
  5. Step 5: Solve for x
    x = 98,873.40/300.78
  6. Step 6: Final answer
    x = 328.72

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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.