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Finding the Fourth Proportional to 355.52, 490.74 and 251.18

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Solution

The fourth proportional to 355.52, 490.74 and 251.18 is: 346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.52 : 490.74 = 251.18 : x
  2. Step 2: Convert to fraction form
    355.52/490.74 = 251.18/x
  3. Step 3: Cross multiply
    355.52x = 490.74 × 251.18
  4. Step 4: Simplify right side
    355.52x = 123,264.07
  5. Step 5: Solve for x
    x = 123,264.07/355.52
  6. Step 6: Final answer
    x = 346.71

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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.