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Finding the Fourth Proportional to 355.13, 490.09 and 199.89

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Solution

The fourth proportional to 355.13, 490.09 and 199.89 is: 275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.13 : 490.09 = 199.89 : x
  2. Step 2: Convert to fraction form
    355.13/490.09 = 199.89/x
  3. Step 3: Cross multiply
    355.13x = 490.09 × 199.89
  4. Step 4: Simplify right side
    355.13x = 97,962.14
  5. Step 5: Solve for x
    x = 97,962.14/355.13
  6. Step 6: Final answer
    x = 275.85

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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.