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Finding the Fourth Proportional to 264.42, 364.94 and 198.82

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Solution

The fourth proportional to 264.42, 364.94 and 198.82 is: 274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.42 : 364.94 = 198.82 : x
  2. Step 2: Convert to fraction form
    264.42/364.94 = 198.82/x
  3. Step 3: Cross multiply
    264.42x = 364.94 × 198.82
  4. Step 4: Simplify right side
    264.42x = 72,557.37
  5. Step 5: Solve for x
    x = 72,557.37/264.42
  6. Step 6: Final answer
    x = 274.40

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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.