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Finding the Fourth Proportional to 484.96, 668.85 and 298.12

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Solution

The fourth proportional to 484.96, 668.85 and 298.12 is: 411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.96 : 668.85 = 298.12 : x
  2. Step 2: Convert to fraction form
    484.96/668.85 = 298.12/x
  3. Step 3: Cross multiply
    484.96x = 668.85 × 298.12
  4. Step 4: Simplify right side
    484.96x = 199,396.24
  5. Step 5: Solve for x
    x = 199,396.24/484.96
  6. Step 6: Final answer
    x = 411.16

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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.