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Finding the Fourth Proportional to 174.51, 262.78 and 129.17

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Solution

The fourth proportional to 174.51, 262.78 and 129.17 is: 194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.51 : 262.78 = 129.17 : x
  2. Step 2: Convert to fraction form
    174.51/262.78 = 129.17/x
  3. Step 3: Cross multiply
    174.51x = 262.78 × 129.17
  4. Step 4: Simplify right side
    174.51x = 33,942.65
  5. Step 5: Solve for x
    x = 33,942.65/174.51
  6. Step 6: Final answer
    x = 194.50

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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.