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Finding the Fourth Proportional to 301.44, 413.60 and 296.32

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Solution

The fourth proportional to 301.44, 413.60 and 296.32 is: 406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.44 : 413.60 = 296.32 : x
  2. Step 2: Convert to fraction form
    301.44/413.60 = 296.32/x
  3. Step 3: Cross multiply
    301.44x = 413.60 × 296.32
  4. Step 4: Simplify right side
    301.44x = 122,557.95
  5. Step 5: Solve for x
    x = 122,557.95/301.44
  6. Step 6: Final answer
    x = 406.57

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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.