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Finding the Fourth Proportional to 174.10, 262.36 and 165.86

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Solution

The fourth proportional to 174.10, 262.36 and 165.86 is: 249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.10 : 262.36 = 165.86 : x
  2. Step 2: Convert to fraction form
    174.10/262.36 = 165.86/x
  3. Step 3: Cross multiply
    174.10x = 262.36 × 165.86
  4. Step 4: Simplify right side
    174.10x = 43,515.03
  5. Step 5: Solve for x
    x = 43,515.03/174.10
  6. Step 6: Final answer
    x = 249.95

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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.