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Finding the Fourth Proportional to 442.07, 609.74 and 301.97

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Solution

The fourth proportional to 442.07, 609.74 and 301.97 is: 416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.07 : 609.74 = 301.97 : x
  2. Step 2: Convert to fraction form
    442.07/609.74 = 301.97/x
  3. Step 3: Cross multiply
    442.07x = 609.74 × 301.97
  4. Step 4: Simplify right side
    442.07x = 184,118.63
  5. Step 5: Solve for x
    x = 184,118.63/442.07
  6. Step 6: Final answer
    x = 416.50

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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.