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Finding the Fourth Proportional to 398.67, 549.90 and 300.39

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Solution

The fourth proportional to 398.67, 549.90 and 300.39 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.67 : 549.90 = 300.39 : x
  2. Step 2: Convert to fraction form
    398.67/549.90 = 300.39/x
  3. Step 3: Cross multiply
    398.67x = 549.90 × 300.39
  4. Step 4: Simplify right side
    398.67x = 165,184.46
  5. Step 5: Solve for x
    x = 165,184.46/398.67
  6. Step 6: Final answer
    x = 414.34

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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.