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Finding the Fourth Proportional to 355.80, 490.50 and 252.12

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Solution

The fourth proportional to 355.80, 490.50 and 252.12 is: 347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.80 : 490.50 = 252.12 : x
  2. Step 2: Convert to fraction form
    355.80/490.50 = 252.12/x
  3. Step 3: Cross multiply
    355.80x = 490.50 × 252.12
  4. Step 4: Simplify right side
    355.80x = 123,664.86
  5. Step 5: Solve for x
    x = 123,664.86/355.80
  6. Step 6: Final answer
    x = 347.57

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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.