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Finding the Fourth Proportional to 355.92, 490.95 and 245.21

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Solution

The fourth proportional to 355.92, 490.95 and 245.21 is: 338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.92 : 490.95 = 245.21 : x
  2. Step 2: Convert to fraction form
    355.92/490.95 = 245.21/x
  3. Step 3: Cross multiply
    355.92x = 490.95 × 245.21
  4. Step 4: Simplify right side
    355.92x = 120,384.32
  5. Step 5: Solve for x
    x = 120,384.32/355.92
  6. Step 6: Final answer
    x = 338.23

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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.