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Finding the Fourth Proportional to 486.06, 670.71 and 299.49

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Solution

The fourth proportional to 486.06, 670.71 and 299.49 is: 413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.06 : 670.71 = 299.49 : x
  2. Step 2: Convert to fraction form
    486.06/670.71 = 299.49/x
  3. Step 3: Cross multiply
    486.06x = 670.71 × 299.49
  4. Step 4: Simplify right side
    486.06x = 200,870.94
  5. Step 5: Solve for x
    x = 200,870.94/486.06
  6. Step 6: Final answer
    x = 413.26

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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.