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Finding the Fourth Proportional to 246.45, 369.79 and 138.24

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Solution

The fourth proportional to 246.45, 369.79 and 138.24 is: 207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.45 : 369.79 = 138.24 : x
  2. Step 2: Convert to fraction form
    246.45/369.79 = 138.24/x
  3. Step 3: Cross multiply
    246.45x = 369.79 × 138.24
  4. Step 4: Simplify right side
    246.45x = 51,119.77
  5. Step 5: Solve for x
    x = 51,119.77/246.45
  6. Step 6: Final answer
    x = 207.42

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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.