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Finding the Fourth Proportional to 264.33, 395.97 and 140.75

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Solution

The fourth proportional to 264.33, 395.97 and 140.75 is: 210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.33 : 395.97 = 140.75 : x
  2. Step 2: Convert to fraction form
    264.33/395.97 = 140.75/x
  3. Step 3: Cross multiply
    264.33x = 395.97 × 140.75
  4. Step 4: Simplify right side
    264.33x = 55,730.80
  5. Step 5: Solve for x
    x = 55,730.80/264.33
  6. Step 6: Final answer
    x = 210.84

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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.