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Finding the Fourth Proportional to 295.97, 443.80 and 193.25

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Solution

The fourth proportional to 295.97, 443.80 and 193.25 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.97 : 443.80 = 193.25 : x
  2. Step 2: Convert to fraction form
    295.97/443.80 = 193.25/x
  3. Step 3: Cross multiply
    295.97x = 443.80 × 193.25
  4. Step 4: Simplify right side
    295.97x = 85,763.38
  5. Step 5: Solve for x
    x = 85,763.38/295.97
  6. Step 6: Final answer
    x = 289.77

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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.