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Finding the Fourth Proportional to 339.27, 505.35 and 321.93

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Solution

The fourth proportional to 339.27, 505.35 and 321.93 is: 479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.27 : 505.35 = 321.93 : x
  2. Step 2: Convert to fraction form
    339.27/505.35 = 321.93/x
  3. Step 3: Cross multiply
    339.27x = 505.35 × 321.93
  4. Step 4: Simplify right side
    339.27x = 162,687.33
  5. Step 5: Solve for x
    x = 162,687.33/339.27
  6. Step 6: Final answer
    x = 479.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.