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Finding the Fourth Proportional to 355.75, 490.50 and 229.50

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Solution

The fourth proportional to 355.75, 490.50 and 229.50 is: 316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.75 : 490.50 = 229.50 : x
  2. Step 2: Convert to fraction form
    355.75/490.50 = 229.50/x
  3. Step 3: Cross multiply
    355.75x = 490.50 × 229.50
  4. Step 4: Simplify right side
    355.75x = 112,569.75
  5. Step 5: Solve for x
    x = 112,569.75/355.75
  6. Step 6: Final answer
    x = 316.43

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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.