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Finding the Fourth Proportional to 355.14, 490.18 and 207.80

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Solution

The fourth proportional to 355.14, 490.18 and 207.80 is: 286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.14 : 490.18 = 207.80 : x
  2. Step 2: Convert to fraction form
    355.14/490.18 = 207.80/x
  3. Step 3: Cross multiply
    355.14x = 490.18 × 207.80
  4. Step 4: Simplify right side
    355.14x = 101,859.40
  5. Step 5: Solve for x
    x = 101,859.40/355.14
  6. Step 6: Final answer
    x = 286.81

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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.