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Finding the Fourth Proportional to 355.90, 491.11 and 204.49

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Solution

The fourth proportional to 355.90, 491.11 and 204.49 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.90 : 491.11 = 204.49 : x
  2. Step 2: Convert to fraction form
    355.90/491.11 = 204.49/x
  3. Step 3: Cross multiply
    355.90x = 491.11 × 204.49
  4. Step 4: Simplify right side
    355.90x = 100,427.98
  5. Step 5: Solve for x
    x = 100,427.98/355.90
  6. Step 6: Final answer
    x = 282.18

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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.