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Finding the Fourth Proportional to 442.65, 609.27 and 311.43

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Solution

The fourth proportional to 442.65, 609.27 and 311.43 is: 428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.65 : 609.27 = 311.43 : x
  2. Step 2: Convert to fraction form
    442.65/609.27 = 311.43/x
  3. Step 3: Cross multiply
    442.65x = 609.27 × 311.43
  4. Step 4: Simplify right side
    442.65x = 189,744.96
  5. Step 5: Solve for x
    x = 189,744.96/442.65
  6. Step 6: Final answer
    x = 428.66

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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.