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Finding the Fourth Proportional to 245.58, 338.64 and 198.90

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Solution

The fourth proportional to 245.58, 338.64 and 198.90 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.58 : 338.64 = 198.90 : x
  2. Step 2: Convert to fraction form
    245.58/338.64 = 198.90/x
  3. Step 3: Cross multiply
    245.58x = 338.64 × 198.90
  4. Step 4: Simplify right side
    245.58x = 67,355.50
  5. Step 5: Solve for x
    x = 67,355.50/245.58
  6. Step 6: Final answer
    x = 274.27

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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.