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Finding the Fourth Proportional to 398.45, 597.55 and 276.34

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Solution

The fourth proportional to 398.45, 597.55 and 276.34 is: 414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.45 : 597.55 = 276.34 : x
  2. Step 2: Convert to fraction form
    398.45/597.55 = 276.34/x
  3. Step 3: Cross multiply
    398.45x = 597.55 × 276.34
  4. Step 4: Simplify right side
    398.45x = 165,126.97
  5. Step 5: Solve for x
    x = 165,126.97/398.45
  6. Step 6: Final answer
    x = 414.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.