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Finding the Fourth Proportional to 246.87, 370.17 and 138.74

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Solution

The fourth proportional to 246.87, 370.17 and 138.74 is: 208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.87 : 370.17 = 138.74 : x
  2. Step 2: Convert to fraction form
    246.87/370.17 = 138.74/x
  3. Step 3: Cross multiply
    246.87x = 370.17 × 138.74
  4. Step 4: Simplify right side
    246.87x = 51,357.39
  5. Step 5: Solve for x
    x = 51,357.39/246.87
  6. Step 6: Final answer
    x = 208.03

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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.