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Finding the Fourth Proportional to 405.26, 606.37 and 339.56

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Solution

The fourth proportional to 405.26, 606.37 and 339.56 is: 508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.26 : 606.37 = 339.56 : x
  2. Step 2: Convert to fraction form
    405.26/606.37 = 339.56/x
  3. Step 3: Cross multiply
    405.26x = 606.37 × 339.56
  4. Step 4: Simplify right side
    405.26x = 205,899.00
  5. Step 5: Solve for x
    x = 205,899.00/405.26
  6. Step 6: Final answer
    x = 508.07

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