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Finding the Fourth Proportional to 245.80, 339.07 and 199.22

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Solution

The fourth proportional to 245.80, 339.07 and 199.22 is: 274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.80 : 339.07 = 199.22 : x
  2. Step 2: Convert to fraction form
    245.80/339.07 = 199.22/x
  3. Step 3: Cross multiply
    245.80x = 339.07 × 199.22
  4. Step 4: Simplify right side
    245.80x = 67,550.20
  5. Step 5: Solve for x
    x = 67,550.20/245.80
  6. Step 6: Final answer
    x = 274.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.