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Finding the Fourth Proportional to 485.85, 670.53 and 299.31

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Solution

The fourth proportional to 485.85, 670.53 and 299.31 is: 413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.85 : 670.53 = 299.31 : x
  2. Step 2: Convert to fraction form
    485.85/670.53 = 299.31/x
  3. Step 3: Cross multiply
    485.85x = 670.53 × 299.31
  4. Step 4: Simplify right side
    485.85x = 200,696.33
  5. Step 5: Solve for x
    x = 200,696.33/485.85
  6. Step 6: Final answer
    x = 413.08

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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.