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Finding the Fourth Proportional to 427.96, 642.27 and 171.64

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Solution

The fourth proportional to 427.96, 642.27 and 171.64 is: 257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.96 : 642.27 = 171.64 : x
  2. Step 2: Convert to fraction form
    427.96/642.27 = 171.64/x
  3. Step 3: Cross multiply
    427.96x = 642.27 × 171.64
  4. Step 4: Simplify right side
    427.96x = 110,239.22
  5. Step 5: Solve for x
    x = 110,239.22/427.96
  6. Step 6: Final answer
    x = 257.59

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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.