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Finding the Fourth Proportional to 355.52, 490.24 and 333.76

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Solution

The fourth proportional to 355.52, 490.24 and 333.76 is: 460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.52 : 490.24 = 333.76 : x
  2. Step 2: Convert to fraction form
    355.52/490.24 = 333.76/x
  3. Step 3: Cross multiply
    355.52x = 490.24 × 333.76
  4. Step 4: Simplify right side
    355.52x = 163,622.50
  5. Step 5: Solve for x
    x = 163,622.50/355.52
  6. Step 6: Final answer
    x = 460.23

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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.