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Finding the Fourth Proportional to 389.38, 537.36 and 223.59

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Solution

The fourth proportional to 389.38, 537.36 and 223.59 is: 308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.38 : 537.36 = 223.59 : x
  2. Step 2: Convert to fraction form
    389.38/537.36 = 223.59/x
  3. Step 3: Cross multiply
    389.38x = 537.36 × 223.59
  4. Step 4: Simplify right side
    389.38x = 120,148.32
  5. Step 5: Solve for x
    x = 120,148.32/389.38
  6. Step 6: Final answer
    x = 308.56

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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.