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Finding the Fourth Proportional to 246.71, 340.16 and 209.30

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Solution

The fourth proportional to 246.71, 340.16 and 209.30 is: 288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.71 : 340.16 = 209.30 : x
  2. Step 2: Convert to fraction form
    246.71/340.16 = 209.30/x
  3. Step 3: Cross multiply
    246.71x = 340.16 × 209.30
  4. Step 4: Simplify right side
    246.71x = 71,195.49
  5. Step 5: Solve for x
    x = 71,195.49/246.71
  6. Step 6: Final answer
    x = 288.58

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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.