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Finding the Fourth Proportional to 398.98, 551.40 and 300.70

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Solution

The fourth proportional to 398.98, 551.40 and 300.70 is: 415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.98 : 551.40 = 300.70 : x
  2. Step 2: Convert to fraction form
    398.98/551.40 = 300.70/x
  3. Step 3: Cross multiply
    398.98x = 551.40 × 300.70
  4. Step 4: Simplify right side
    398.98x = 165,805.98
  5. Step 5: Solve for x
    x = 165,805.98/398.98
  6. Step 6: Final answer
    x = 415.57

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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.