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Finding the Fourth Proportional to 398.96, 549.88 and 300.68

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Solution

The fourth proportional to 398.96, 549.88 and 300.68 is: 414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.96 : 549.88 = 300.68 : x
  2. Step 2: Convert to fraction form
    398.96/549.88 = 300.68/x
  3. Step 3: Cross multiply
    398.96x = 549.88 × 300.68
  4. Step 4: Simplify right side
    398.96x = 165,337.92
  5. Step 5: Solve for x
    x = 165,337.92/398.96
  6. Step 6: Final answer
    x = 414.42

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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.