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Finding the Fourth Proportional to 174.71, 263.45 and 171.47

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Solution

The fourth proportional to 174.71, 263.45 and 171.47 is: 258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.71 : 263.45 = 171.47 : x
  2. Step 2: Convert to fraction form
    174.71/263.45 = 171.47/x
  3. Step 3: Cross multiply
    174.71x = 263.45 × 171.47
  4. Step 4: Simplify right side
    174.71x = 45,173.77
  5. Step 5: Solve for x
    x = 45,173.77/174.71
  6. Step 6: Final answer
    x = 258.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.