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Finding the Fourth Proportional to 427.52, 640.17 and 231.78

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Solution

The fourth proportional to 427.52, 640.17 and 231.78 is: 347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.52 : 640.17 = 231.78 : x
  2. Step 2: Convert to fraction form
    427.52/640.17 = 231.78/x
  3. Step 3: Cross multiply
    427.52x = 640.17 × 231.78
  4. Step 4: Simplify right side
    427.52x = 148,378.60
  5. Step 5: Solve for x
    x = 148,378.60/427.52
  6. Step 6: Final answer
    x = 347.07

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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.