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Finding the Fourth Proportional to 245.99, 367.19 and 216.80

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Solution

The fourth proportional to 245.99, 367.19 and 216.80 is: 323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.99 : 367.19 = 216.80 : x
  2. Step 2: Convert to fraction form
    245.99/367.19 = 216.80/x
  3. Step 3: Cross multiply
    245.99x = 367.19 × 216.80
  4. Step 4: Simplify right side
    245.99x = 79,608.49
  5. Step 5: Solve for x
    x = 79,608.49/245.99
  6. Step 6: Final answer
    x = 323.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.