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Finding the Fourth Proportional to 197.39, 294.62 and 174.33

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Solution

The fourth proportional to 197.39, 294.62 and 174.33 is: 260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.39 : 294.62 = 174.33 : x
  2. Step 2: Convert to fraction form
    197.39/294.62 = 174.33/x
  3. Step 3: Cross multiply
    197.39x = 294.62 × 174.33
  4. Step 4: Simplify right side
    197.39x = 51,359.63
  5. Step 5: Solve for x
    x = 51,359.63/197.39
  6. Step 6: Final answer
    x = 260.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.