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Finding the Fourth Proportional to 197.95, 297.08 and 129.45

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Solution

The fourth proportional to 197.95, 297.08 and 129.45 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.95 : 297.08 = 129.45 : x
  2. Step 2: Convert to fraction form
    197.95/297.08 = 129.45/x
  3. Step 3: Cross multiply
    197.95x = 297.08 × 129.45
  4. Step 4: Simplify right side
    197.95x = 38,457.96
  5. Step 5: Solve for x
    x = 38,457.96/197.95
  6. Step 6: Final answer
    x = 194.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.