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Finding the Fourth Proportional to 197.18, 294.34 and 172.88

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Solution

The fourth proportional to 197.18, 294.34 and 172.88 is: 258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.18 : 294.34 = 172.88 : x
  2. Step 2: Convert to fraction form
    197.18/294.34 = 172.88/x
  3. Step 3: Cross multiply
    197.18x = 294.34 × 172.88
  4. Step 4: Simplify right side
    197.18x = 50,883.60
  5. Step 5: Solve for x
    x = 50,883.60/197.18
  6. Step 6: Final answer
    x = 258.06

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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.