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Finding the Fourth Proportional to 171.21, 256.58 and 110.31

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Solution

The fourth proportional to 171.21, 256.58 and 110.31 is: 165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.21 : 256.58 = 110.31 : x
  2. Step 2: Convert to fraction form
    171.21/256.58 = 110.31/x
  3. Step 3: Cross multiply
    171.21x = 256.58 × 110.31
  4. Step 4: Simplify right side
    171.21x = 28,301.78
  5. Step 5: Solve for x
    x = 28,301.78/171.21
  6. Step 6: Final answer
    x = 165.31

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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.