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Finding the Fourth Proportional to 605.36, 835.28 and 339.76

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Solution

The fourth proportional to 605.36, 835.28 and 339.76 is: 468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.36 : 835.28 = 339.76 : x
  2. Step 2: Convert to fraction form
    605.36/835.28 = 339.76/x
  3. Step 3: Cross multiply
    605.36x = 835.28 × 339.76
  4. Step 4: Simplify right side
    605.36x = 283,794.73
  5. Step 5: Solve for x
    x = 283,794.73/605.36
  6. Step 6: Final answer
    x = 468.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.