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Finding the Fourth Proportional to 427.33, 642.21 and 306.37

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Solution

The fourth proportional to 427.33, 642.21 and 306.37 is: 460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.33 : 642.21 = 306.37 : x
  2. Step 2: Convert to fraction form
    427.33/642.21 = 306.37/x
  3. Step 3: Cross multiply
    427.33x = 642.21 × 306.37
  4. Step 4: Simplify right side
    427.33x = 196,753.88
  5. Step 5: Solve for x
    x = 196,753.88/427.33
  6. Step 6: Final answer
    x = 460.43

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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.