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Finding the Fourth Proportional to 355.33, 490.33 and 289.72

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Solution

The fourth proportional to 355.33, 490.33 and 289.72 is: 399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.33 : 490.33 = 289.72 : x
  2. Step 2: Convert to fraction form
    355.33/490.33 = 289.72/x
  3. Step 3: Cross multiply
    355.33x = 490.33 × 289.72
  4. Step 4: Simplify right side
    355.33x = 142,058.41
  5. Step 5: Solve for x
    x = 142,058.41/355.33
  6. Step 6: Final answer
    x = 399.79

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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.