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Finding the Fourth Proportional to 197.43, 294.71 and 173.13

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Solution

The fourth proportional to 197.43, 294.71 and 173.13 is: 258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.43 : 294.71 = 173.13 : x
  2. Step 2: Convert to fraction form
    197.43/294.71 = 173.13/x
  3. Step 3: Cross multiply
    197.43x = 294.71 × 173.13
  4. Step 4: Simplify right side
    197.43x = 51,023.14
  5. Step 5: Solve for x
    x = 51,023.14/197.43
  6. Step 6: Final answer
    x = 258.44

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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.