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Finding the Fourth Proportional to 358.57, 537.07 and 213.97

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Solution

The fourth proportional to 358.57, 537.07 and 213.97 is: 320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.57 : 537.07 = 213.97 : x
  2. Step 2: Convert to fraction form
    358.57/537.07 = 213.97/x
  3. Step 3: Cross multiply
    358.57x = 537.07 × 213.97
  4. Step 4: Simplify right side
    358.57x = 114,916.87
  5. Step 5: Solve for x
    x = 114,916.87/358.57
  6. Step 6: Final answer
    x = 320.49

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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.