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Finding the Fourth Proportional to 358.91, 538.36 and 222.04

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Solution

The fourth proportional to 358.91, 538.36 and 222.04 is: 333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.91 : 538.36 = 222.04 : x
  2. Step 2: Convert to fraction form
    358.91/538.36 = 222.04/x
  3. Step 3: Cross multiply
    358.91x = 538.36 × 222.04
  4. Step 4: Simplify right side
    358.91x = 119,537.57
  5. Step 5: Solve for x
    x = 119,537.57/358.91
  6. Step 6: Final answer
    x = 333.06

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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.