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Finding the Fourth Proportional to 174.31, 263.04 and 169.18

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Solution

The fourth proportional to 174.31, 263.04 and 169.18 is: 255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.31 : 263.04 = 169.18 : x
  2. Step 2: Convert to fraction form
    174.31/263.04 = 169.18/x
  3. Step 3: Cross multiply
    174.31x = 263.04 × 169.18
  4. Step 4: Simplify right side
    174.31x = 44,501.11
  5. Step 5: Solve for x
    x = 44,501.11/174.31
  6. Step 6: Final answer
    x = 255.30

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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.