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Finding the Fourth Proportional to 283.26, 390.40 and 209.41

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Solution

The fourth proportional to 283.26, 390.40 and 209.41 is: 288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.26 : 390.40 = 209.41 : x
  2. Step 2: Convert to fraction form
    283.26/390.40 = 209.41/x
  3. Step 3: Cross multiply
    283.26x = 390.40 × 209.41
  4. Step 4: Simplify right side
    283.26x = 81,753.66
  5. Step 5: Solve for x
    x = 81,753.66/283.26
  6. Step 6: Final answer
    x = 288.62

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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.