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Finding the Fourth Proportional to 246.70, 340.77 and 189.19

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Solution

The fourth proportional to 246.70, 340.77 and 189.19 is: 261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.70 : 340.77 = 189.19 : x
  2. Step 2: Convert to fraction form
    246.70/340.77 = 189.19/x
  3. Step 3: Cross multiply
    246.70x = 340.77 × 189.19
  4. Step 4: Simplify right side
    246.70x = 64,470.28
  5. Step 5: Solve for x
    x = 64,470.28/246.70
  6. Step 6: Final answer
    x = 261.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.