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Finding the Fourth Proportional to 197.79, 297 and 116.70

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Solution

The fourth proportional to 197.79, 297 and 116.70 is: 175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.79 : 297 = 116.70 : x
  2. Step 2: Convert to fraction form
    197.79/297 = 116.70/x
  3. Step 3: Cross multiply
    197.79x = 297 × 116.70
  4. Step 4: Simplify right side
    197.79x = 34,659.90
  5. Step 5: Solve for x
    x = 34,659.90/197.79
  6. Step 6: Final answer
    x = 175.24

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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.