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Finding the Fourth Proportional to 358.11, 537.32 and 213.75

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Solution

The fourth proportional to 358.11, 537.32 and 213.75 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.11 : 537.32 = 213.75 : x
  2. Step 2: Convert to fraction form
    358.11/537.32 = 213.75/x
  3. Step 3: Cross multiply
    358.11x = 537.32 × 213.75
  4. Step 4: Simplify right side
    358.11x = 114,851.08
  5. Step 5: Solve for x
    x = 114,851.08/358.11
  6. Step 6: Final answer
    x = 320.71

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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.