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Finding the Fourth Proportional to 174.18, 262.80 and 168.12

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Solution

The fourth proportional to 174.18, 262.80 and 168.12 is: 253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.18 : 262.80 = 168.12 : x
  2. Step 2: Convert to fraction form
    174.18/262.80 = 168.12/x
  3. Step 3: Cross multiply
    174.18x = 262.80 × 168.12
  4. Step 4: Simplify right side
    174.18x = 44,181.94
  5. Step 5: Solve for x
    x = 44,181.94/174.18
  6. Step 6: Final answer
    x = 253.66

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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.