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Finding the Fourth Proportional to 338.78, 465.02 and 301.12

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Solution

The fourth proportional to 338.78, 465.02 and 301.12 is: 413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.78 : 465.02 = 301.12 : x
  2. Step 2: Convert to fraction form
    338.78/465.02 = 301.12/x
  3. Step 3: Cross multiply
    338.78x = 465.02 × 301.12
  4. Step 4: Simplify right side
    338.78x = 140,026.82
  5. Step 5: Solve for x
    x = 140,026.82/338.78
  6. Step 6: Final answer
    x = 413.33

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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.