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Finding the Fourth Proportional to 358.87, 538.31 and 153.22

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Solution

The fourth proportional to 358.87, 538.31 and 153.22 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.87 : 538.31 = 153.22 : x
  2. Step 2: Convert to fraction form
    358.87/538.31 = 153.22/x
  3. Step 3: Cross multiply
    358.87x = 538.31 × 153.22
  4. Step 4: Simplify right side
    358.87x = 82,479.86
  5. Step 5: Solve for x
    x = 82,479.86/358.87
  6. Step 6: Final answer
    x = 229.83

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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.