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Finding the Fourth Proportional to 264.56, 395.93 and 193.80

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Solution

The fourth proportional to 264.56, 395.93 and 193.80 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.56 : 395.93 = 193.80 : x
  2. Step 2: Convert to fraction form
    264.56/395.93 = 193.80/x
  3. Step 3: Cross multiply
    264.56x = 395.93 × 193.80
  4. Step 4: Simplify right side
    264.56x = 76,730.27
  5. Step 5: Solve for x
    x = 76,730.27/264.56
  6. Step 6: Final answer
    x = 290.04

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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.