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Finding the Fourth Proportional to 484.67, 669.21 and 298.42

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Solution

The fourth proportional to 484.67, 669.21 and 298.42 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.67 : 669.21 = 298.42 : x
  2. Step 2: Convert to fraction form
    484.67/669.21 = 298.42/x
  3. Step 3: Cross multiply
    484.67x = 669.21 × 298.42
  4. Step 4: Simplify right side
    484.67x = 199,705.65
  5. Step 5: Solve for x
    x = 199,705.65/484.67
  6. Step 6: Final answer
    x = 412.04

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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.