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Finding the Fourth Proportional to 485.65, 670.26 and 299.26

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Solution

The fourth proportional to 485.65, 670.26 and 299.26 is: 413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.65 : 670.26 = 299.26 : x
  2. Step 2: Convert to fraction form
    485.65/670.26 = 299.26/x
  3. Step 3: Cross multiply
    485.65x = 670.26 × 299.26
  4. Step 4: Simplify right side
    485.65x = 200,582.01
  5. Step 5: Solve for x
    x = 200,582.01/485.65
  6. Step 6: Final answer
    x = 413.02

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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.