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Finding the Fourth Proportional to 171, 256.38 and 84.26

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Solution

The fourth proportional to 171, 256.38 and 84.26 is: 126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171 : 256.38 = 84.26 : x
  2. Step 2: Convert to fraction form
    171/256.38 = 84.26/x
  3. Step 3: Cross multiply
    171x = 256.38 × 84.26
  4. Step 4: Simplify right side
    171x = 21,602.58
  5. Step 5: Solve for x
    x = 21,602.58/171
  6. Step 6: Final answer
    x = 126.33

Related Problems

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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.