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Finding the Fourth Proportional to 299.94, 413.01 and 256.18

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Solution

The fourth proportional to 299.94, 413.01 and 256.18 is: 352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 413.01 = 256.18 : x
  2. Step 2: Convert to fraction form
    299.94/413.01 = 256.18/x
  3. Step 3: Cross multiply
    299.94x = 413.01 × 256.18
  4. Step 4: Simplify right side
    299.94x = 105,804.90
  5. Step 5: Solve for x
    x = 105,804.90/299.94
  6. Step 6: Final answer
    x = 352.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.