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Finding the Fourth Proportional to 197.36, 296.16 and 116.40

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Solution

The fourth proportional to 197.36, 296.16 and 116.40 is: 174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.36 : 296.16 = 116.40 : x
  2. Step 2: Convert to fraction form
    197.36/296.16 = 116.40/x
  3. Step 3: Cross multiply
    197.36x = 296.16 × 116.40
  4. Step 4: Simplify right side
    197.36x = 34,473.02
  5. Step 5: Solve for x
    x = 34,473.02/197.36
  6. Step 6: Final answer
    x = 174.67

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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.