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Finding the Fourth Proportional to 358.20, 537.42 and 165.80

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Solution

The fourth proportional to 358.20, 537.42 and 165.80 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.20 : 537.42 = 165.80 : x
  2. Step 2: Convert to fraction form
    358.20/537.42 = 165.80/x
  3. Step 3: Cross multiply
    358.20x = 537.42 × 165.80
  4. Step 4: Simplify right side
    358.20x = 89,104.24
  5. Step 5: Solve for x
    x = 89,104.24/358.20
  6. Step 6: Final answer
    x = 248.76

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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.