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Finding the Fourth Proportional to 398.55, 596.79 and 276.42

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Solution

The fourth proportional to 398.55, 596.79 and 276.42 is: 413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.55 : 596.79 = 276.42 : x
  2. Step 2: Convert to fraction form
    398.55/596.79 = 276.42/x
  3. Step 3: Cross multiply
    398.55x = 596.79 × 276.42
  4. Step 4: Simplify right side
    398.55x = 164,964.69
  5. Step 5: Solve for x
    x = 164,964.69/398.55
  6. Step 6: Final answer
    x = 413.91

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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.