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Finding the Fourth Proportional to 339.58, 470.77 and 321.11

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Solution

The fourth proportional to 339.58, 470.77 and 321.11 is: 445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.58 : 470.77 = 321.11 : x
  2. Step 2: Convert to fraction form
    339.58/470.77 = 321.11/x
  3. Step 3: Cross multiply
    339.58x = 470.77 × 321.11
  4. Step 4: Simplify right side
    339.58x = 151,167.56
  5. Step 5: Solve for x
    x = 151,167.56/339.58
  6. Step 6: Final answer
    x = 445.16

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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.