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Finding the Fourth Proportional to 358.27, 537.27 and 138.78

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Solution

The fourth proportional to 358.27, 537.27 and 138.78 is: 208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.27 : 537.27 = 138.78 : x
  2. Step 2: Convert to fraction form
    358.27/537.27 = 138.78/x
  3. Step 3: Cross multiply
    358.27x = 537.27 × 138.78
  4. Step 4: Simplify right side
    358.27x = 74,562.33
  5. Step 5: Solve for x
    x = 74,562.33/358.27
  6. Step 6: Final answer
    x = 208.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.