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Finding the Fourth Proportional to 246.80, 369.40 and 185.84

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Solution

The fourth proportional to 246.80, 369.40 and 185.84 is: 278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.80 : 369.40 = 185.84 : x
  2. Step 2: Convert to fraction form
    246.80/369.40 = 185.84/x
  3. Step 3: Cross multiply
    246.80x = 369.40 × 185.84
  4. Step 4: Simplify right side
    246.80x = 68,649.30
  5. Step 5: Solve for x
    x = 68,649.30/246.80
  6. Step 6: Final answer
    x = 278.16

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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.