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Finding the Fourth Proportional to 246.24, 369.38 and 81.64

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Solution

The fourth proportional to 246.24, 369.38 and 81.64 is: 122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.24 : 369.38 = 81.64 : x
  2. Step 2: Convert to fraction form
    246.24/369.38 = 81.64/x
  3. Step 3: Cross multiply
    246.24x = 369.38 × 81.64
  4. Step 4: Simplify right side
    246.24x = 30,156.39
  5. Step 5: Solve for x
    x = 30,156.39/246.24
  6. Step 6: Final answer
    x = 122.47

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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.