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Finding the Fourth Proportional to 442.12, 609.80 and 309.32

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Solution

The fourth proportional to 442.12, 609.80 and 309.32 is: 426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.12 : 609.80 = 309.32 : x
  2. Step 2: Convert to fraction form
    442.12/609.80 = 309.32/x
  3. Step 3: Cross multiply
    442.12x = 609.80 × 309.32
  4. Step 4: Simplify right side
    442.12x = 188,623.34
  5. Step 5: Solve for x
    x = 188,623.34/442.12
  6. Step 6: Final answer
    x = 426.63

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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.