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Finding the Fourth Proportional to 441.74, 609.14 and 284.33

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Solution

The fourth proportional to 441.74, 609.14 and 284.33 is: 392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.74 : 609.14 = 284.33 : x
  2. Step 2: Convert to fraction form
    441.74/609.14 = 284.33/x
  3. Step 3: Cross multiply
    441.74x = 609.14 × 284.33
  4. Step 4: Simplify right side
    441.74x = 173,199.01
  5. Step 5: Solve for x
    x = 173,199.01/441.74
  6. Step 6: Final answer
    x = 392.08

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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.