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Finding the Fourth Proportional to 216.36, 296.70 and 194.46

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Solution

The fourth proportional to 216.36, 296.70 and 194.46 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.36 : 296.70 = 194.46 : x
  2. Step 2: Convert to fraction form
    216.36/296.70 = 194.46/x
  3. Step 3: Cross multiply
    216.36x = 296.70 × 194.46
  4. Step 4: Simplify right side
    216.36x = 57,696.28
  5. Step 5: Solve for x
    x = 57,696.28/216.36
  6. Step 6: Final answer
    x = 266.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.