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Finding the Fourth Proportional to 246.69, 371.51 and 208.43

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Solution

The fourth proportional to 246.69, 371.51 and 208.43 is: 313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.69 : 371.51 = 208.43 : x
  2. Step 2: Convert to fraction form
    246.69/371.51 = 208.43/x
  3. Step 3: Cross multiply
    246.69x = 371.51 × 208.43
  4. Step 4: Simplify right side
    246.69x = 77,430.93
  5. Step 5: Solve for x
    x = 77,430.93/246.69
  6. Step 6: Final answer
    x = 313.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.