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Finding the Fourth Proportional to 264.85, 396.59 and 191.50

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Solution

The fourth proportional to 264.85, 396.59 and 191.50 is: 286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.85 : 396.59 = 191.50 : x
  2. Step 2: Convert to fraction form
    264.85/396.59 = 191.50/x
  3. Step 3: Cross multiply
    264.85x = 396.59 × 191.50
  4. Step 4: Simplify right side
    264.85x = 75,945.04
  5. Step 5: Solve for x
    x = 75,945.04/264.85
  6. Step 6: Final answer
    x = 286.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.