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Finding the Fourth Proportional to 358.53, 494.78 and 203.25

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Solution

The fourth proportional to 358.53, 494.78 and 203.25 is: 280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.53 : 494.78 = 203.25 : x
  2. Step 2: Convert to fraction form
    358.53/494.78 = 203.25/x
  3. Step 3: Cross multiply
    358.53x = 494.78 × 203.25
  4. Step 4: Simplify right side
    358.53x = 100,563.02
  5. Step 5: Solve for x
    x = 100,563.02/358.53
  6. Step 6: Final answer
    x = 280.49

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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.