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Finding the Fourth Proportional to 439.07, 657.99 and 300.42

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Solution

The fourth proportional to 439.07, 657.99 and 300.42 is: 450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.07 : 657.99 = 300.42 : x
  2. Step 2: Convert to fraction form
    439.07/657.99 = 300.42/x
  3. Step 3: Cross multiply
    439.07x = 657.99 × 300.42
  4. Step 4: Simplify right side
    439.07x = 197,673.36
  5. Step 5: Solve for x
    x = 197,673.36/439.07
  6. Step 6: Final answer
    x = 450.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.