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Finding the Fourth Proportional to 197.54, 297.45 and 146.54

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Solution

The fourth proportional to 197.54, 297.45 and 146.54 is: 220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.54 : 297.45 = 146.54 : x
  2. Step 2: Convert to fraction form
    197.54/297.45 = 146.54/x
  3. Step 3: Cross multiply
    197.54x = 297.45 × 146.54
  4. Step 4: Simplify right side
    197.54x = 43,586.84
  5. Step 5: Solve for x
    x = 43,586.84/197.54
  6. Step 6: Final answer
    x = 220.65

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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.