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Finding the Fourth Proportional to 197.34, 297.16 and 146.34

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Solution

The fourth proportional to 197.34, 297.16 and 146.34 is: 220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.34 : 297.16 = 146.34 : x
  2. Step 2: Convert to fraction form
    197.34/297.16 = 146.34/x
  3. Step 3: Cross multiply
    197.34x = 297.16 × 146.34
  4. Step 4: Simplify right side
    197.34x = 43,486.39
  5. Step 5: Solve for x
    x = 43,486.39/197.34
  6. Step 6: Final answer
    x = 220.36

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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.