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Finding the Fourth Proportional to 246.80, 369.67 and 159.87

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Solution

The fourth proportional to 246.80, 369.67 and 159.87 is: 239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.80 : 369.67 = 159.87 : x
  2. Step 2: Convert to fraction form
    246.80/369.67 = 159.87/x
  3. Step 3: Cross multiply
    246.80x = 369.67 × 159.87
  4. Step 4: Simplify right side
    246.80x = 59,099.70
  5. Step 5: Solve for x
    x = 59,099.70/246.80
  6. Step 6: Final answer
    x = 239.47

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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.