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Finding the Fourth Proportional to 246.73, 369.51 and 138.46

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Solution

The fourth proportional to 246.73, 369.51 and 138.46 is: 207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.73 : 369.51 = 138.46 : x
  2. Step 2: Convert to fraction form
    246.73/369.51 = 138.46/x
  3. Step 3: Cross multiply
    246.73x = 369.51 × 138.46
  4. Step 4: Simplify right side
    246.73x = 51,162.35
  5. Step 5: Solve for x
    x = 51,162.35/246.73
  6. Step 6: Final answer
    x = 207.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.