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Finding the Fourth Proportional to 358.09, 493.36 and 269.43

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Solution

The fourth proportional to 358.09, 493.36 and 269.43 is: 371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.09 : 493.36 = 269.43 : x
  2. Step 2: Convert to fraction form
    358.09/493.36 = 269.43/x
  3. Step 3: Cross multiply
    358.09x = 493.36 × 269.43
  4. Step 4: Simplify right side
    358.09x = 132,923.46
  5. Step 5: Solve for x
    x = 132,923.46/358.09
  6. Step 6: Final answer
    x = 371.20

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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.