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Finding the Fourth Proportional to 442.90, 611.46 and 303.22

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Solution

The fourth proportional to 442.90, 611.46 and 303.22 is: 418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.90 : 611.46 = 303.22 : x
  2. Step 2: Convert to fraction form
    442.90/611.46 = 303.22/x
  3. Step 3: Cross multiply
    442.90x = 611.46 × 303.22
  4. Step 4: Simplify right side
    442.90x = 185,406.90
  5. Step 5: Solve for x
    x = 185,406.90/442.90
  6. Step 6: Final answer
    x = 418.62

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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.