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Finding the Fourth Proportional to 197.15, 294.26 and 174.08

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Solution

The fourth proportional to 197.15, 294.26 and 174.08 is: 259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.15 : 294.26 = 174.08 : x
  2. Step 2: Convert to fraction form
    197.15/294.26 = 174.08/x
  3. Step 3: Cross multiply
    197.15x = 294.26 × 174.08
  4. Step 4: Simplify right side
    197.15x = 51,222.44
  5. Step 5: Solve for x
    x = 51,222.44/197.15
  6. Step 6: Final answer
    x = 259.82

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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.