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Finding the Fourth Proportional to 358.78, 537.75 and 212.62

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Solution

The fourth proportional to 358.78, 537.75 and 212.62 is: 318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.78 : 537.75 = 212.62 : x
  2. Step 2: Convert to fraction form
    358.78/537.75 = 212.62/x
  3. Step 3: Cross multiply
    358.78x = 537.75 × 212.62
  4. Step 4: Simplify right side
    358.78x = 114,336.41
  5. Step 5: Solve for x
    x = 114,336.41/358.78
  6. Step 6: Final answer
    x = 318.68

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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.