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Finding the Fourth Proportional to 340.82, 470.38 and 209.90

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Solution

The fourth proportional to 340.82, 470.38 and 209.90 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.82 : 470.38 = 209.90 : x
  2. Step 2: Convert to fraction form
    340.82/470.38 = 209.90/x
  3. Step 3: Cross multiply
    340.82x = 470.38 × 209.90
  4. Step 4: Simplify right side
    340.82x = 98,732.76
  5. Step 5: Solve for x
    x = 98,732.76/340.82
  6. Step 6: Final answer
    x = 289.69

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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.