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Finding the Fourth Proportional to 246.84, 371.92 and 204.45

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Solution

The fourth proportional to 246.84, 371.92 and 204.45 is: 308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.84 : 371.92 = 204.45 : x
  2. Step 2: Convert to fraction form
    246.84/371.92 = 204.45/x
  3. Step 3: Cross multiply
    246.84x = 371.92 × 204.45
  4. Step 4: Simplify right side
    246.84x = 76,036.67
  5. Step 5: Solve for x
    x = 76,036.67/246.84
  6. Step 6: Final answer
    x = 308.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.