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Finding the Fourth Proportional to 264.50, 364.55 and 194.41

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Solution

The fourth proportional to 264.50, 364.55 and 194.41 is: 267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.50 : 364.55 = 194.41 : x
  2. Step 2: Convert to fraction form
    264.50/364.55 = 194.41/x
  3. Step 3: Cross multiply
    264.50x = 364.55 × 194.41
  4. Step 4: Simplify right side
    264.50x = 70,871.65
  5. Step 5: Solve for x
    x = 70,871.65/264.50
  6. Step 6: Final answer
    x = 267.95

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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.