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Finding the Fourth Proportional to 441.20, 609.12 and 284.06

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Solution

The fourth proportional to 441.20, 609.12 and 284.06 is: 392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.20 : 609.12 = 284.06 : x
  2. Step 2: Convert to fraction form
    441.20/609.12 = 284.06/x
  3. Step 3: Cross multiply
    441.20x = 609.12 × 284.06
  4. Step 4: Simplify right side
    441.20x = 173,023.58
  5. Step 5: Solve for x
    x = 173,023.58/441.20
  6. Step 6: Final answer
    x = 392.17

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