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Finding the Fourth Proportional to 339.80, 465.41 and 319.85

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Solution

The fourth proportional to 339.80, 465.41 and 319.85 is: 438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.80 : 465.41 = 319.85 : x
  2. Step 2: Convert to fraction form
    339.80/465.41 = 319.85/x
  3. Step 3: Cross multiply
    339.80x = 465.41 × 319.85
  4. Step 4: Simplify right side
    339.80x = 148,859.51
  5. Step 5: Solve for x
    x = 148,859.51/339.80
  6. Step 6: Final answer
    x = 438.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.