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Finding the Fourth Proportional to 295.75, 443.80 and 122.42

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Solution

The fourth proportional to 295.75, 443.80 and 122.42 is: 183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.75 : 443.80 = 122.42 : x
  2. Step 2: Convert to fraction form
    295.75/443.80 = 122.42/x
  3. Step 3: Cross multiply
    295.75x = 443.80 × 122.42
  4. Step 4: Simplify right side
    295.75x = 54,327.24
  5. Step 5: Solve for x
    x = 54,327.24/295.75
  6. Step 6: Final answer
    x = 183.70

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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.