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Finding the Fourth Proportional to 358.34, 494.46 and 203.09

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Solution

The fourth proportional to 358.34, 494.46 and 203.09 is: 280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.34 : 494.46 = 203.09 : x
  2. Step 2: Convert to fraction form
    358.34/494.46 = 203.09/x
  3. Step 3: Cross multiply
    358.34x = 494.46 × 203.09
  4. Step 4: Simplify right side
    358.34x = 100,417.41
  5. Step 5: Solve for x
    x = 100,417.41/358.34
  6. Step 6: Final answer
    x = 280.23

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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.