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Finding the Fourth Proportional to 427.54, 640.71 and 195.86

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Solution

The fourth proportional to 427.54, 640.71 and 195.86 is: 293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.54 : 640.71 = 195.86 : x
  2. Step 2: Convert to fraction form
    427.54/640.71 = 195.86/x
  3. Step 3: Cross multiply
    427.54x = 640.71 × 195.86
  4. Step 4: Simplify right side
    427.54x = 125,489.46
  5. Step 5: Solve for x
    x = 125,489.46/427.54
  6. Step 6: Final answer
    x = 293.52

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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.