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Finding the Fourth Proportional to 405.34, 605.44 and 347.73

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Solution

The fourth proportional to 405.34, 605.44 and 347.73 is: 519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.34 : 605.44 = 347.73 : x
  2. Step 2: Convert to fraction form
    405.34/605.44 = 347.73/x
  3. Step 3: Cross multiply
    405.34x = 605.44 × 347.73
  4. Step 4: Simplify right side
    405.34x = 210,527.82
  5. Step 5: Solve for x
    x = 210,527.82/405.34
  6. Step 6: Final answer
    x = 519.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.