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Finding the Fourth Proportional to 246.40, 369.77 and 109.50

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Solution

The fourth proportional to 246.40, 369.77 and 109.50 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.40 : 369.77 = 109.50 : x
  2. Step 2: Convert to fraction form
    246.40/369.77 = 109.50/x
  3. Step 3: Cross multiply
    246.40x = 369.77 × 109.50
  4. Step 4: Simplify right side
    246.40x = 40,489.82
  5. Step 5: Solve for x
    x = 40,489.82/246.40
  6. Step 6: Final answer
    x = 164.33

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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.