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Finding the Fourth Proportional to 441.42, 609.17 and 293.80

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Solution

The fourth proportional to 441.42, 609.17 and 293.80 is: 405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.42 : 609.17 = 293.80 : x
  2. Step 2: Convert to fraction form
    441.42/609.17 = 293.80/x
  3. Step 3: Cross multiply
    441.42x = 609.17 × 293.80
  4. Step 4: Simplify right side
    441.42x = 178,975.66
  5. Step 5: Solve for x
    x = 178,975.66/441.42
  6. Step 6: Final answer
    x = 405.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.