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Finding the Fourth Proportional to 339.09, 470.07 and 320.61

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Solution

The fourth proportional to 339.09, 470.07 and 320.61 is: 444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.09 : 470.07 = 320.61 : x
  2. Step 2: Convert to fraction form
    339.09/470.07 = 320.61/x
  3. Step 3: Cross multiply
    339.09x = 470.07 × 320.61
  4. Step 4: Simplify right side
    339.09x = 150,709.14
  5. Step 5: Solve for x
    x = 150,709.14/339.09
  6. Step 6: Final answer
    x = 444.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.