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Finding the Fourth Proportional to 389.37, 537.41 and 223.70

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Solution

The fourth proportional to 389.37, 537.41 and 223.70 is: 308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.37 : 537.41 = 223.70 : x
  2. Step 2: Convert to fraction form
    389.37/537.41 = 223.70/x
  3. Step 3: Cross multiply
    389.37x = 537.41 × 223.70
  4. Step 4: Simplify right side
    389.37x = 120,218.62
  5. Step 5: Solve for x
    x = 120,218.62/389.37
  6. Step 6: Final answer
    x = 308.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.