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Finding the Fourth Proportional to 174.33, 262.52 and 129.00

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Solution

The fourth proportional to 174.33, 262.52 and 129.00 is: 194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.33 : 262.52 = 129.00 : x
  2. Step 2: Convert to fraction form
    174.33/262.52 = 129.00/x
  3. Step 3: Cross multiply
    174.33x = 262.52 × 129.00
  4. Step 4: Simplify right side
    174.33x = 33,865.42
  5. Step 5: Solve for x
    x = 33,865.42/174.33
  6. Step 6: Final answer
    x = 194.26

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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.