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Finding the Fourth Proportional to 171.02, 256.33 and 68.20

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Solution

The fourth proportional to 171.02, 256.33 and 68.20 is: 102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.02 : 256.33 = 68.20 : x
  2. Step 2: Convert to fraction form
    171.02/256.33 = 68.20/x
  3. Step 3: Cross multiply
    171.02x = 256.33 × 68.20
  4. Step 4: Simplify right side
    171.02x = 17,481.71
  5. Step 5: Solve for x
    x = 17,481.71/171.02
  6. Step 6: Final answer
    x = 102.22

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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.