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Finding the Fourth Proportional to 358.92, 538.02 and 142.20

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Solution

The fourth proportional to 358.92, 538.02 and 142.20 is: 213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.92 : 538.02 = 142.20 : x
  2. Step 2: Convert to fraction form
    358.92/538.02 = 142.20/x
  3. Step 3: Cross multiply
    358.92x = 538.02 × 142.20
  4. Step 4: Simplify right side
    358.92x = 76,506.44
  5. Step 5: Solve for x
    x = 76,506.44/358.92
  6. Step 6: Final answer
    x = 213.16

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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.