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Finding the Fourth Proportional to 171.01, 254.75 and 166.24

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Solution

The fourth proportional to 171.01, 254.75 and 166.24 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.01 : 254.75 = 166.24 : x
  2. Step 2: Convert to fraction form
    171.01/254.75 = 166.24/x
  3. Step 3: Cross multiply
    171.01x = 254.75 × 166.24
  4. Step 4: Simplify right side
    171.01x = 42,349.64
  5. Step 5: Solve for x
    x = 42,349.64/171.01
  6. Step 6: Final answer
    x = 247.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.