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Finding the Fourth Proportional to 339.44, 509.76 and 324.05

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Solution

The fourth proportional to 339.44, 509.76 and 324.05 is: 486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.44 : 509.76 = 324.05 : x
  2. Step 2: Convert to fraction form
    339.44/509.76 = 324.05/x
  3. Step 3: Cross multiply
    339.44x = 509.76 × 324.05
  4. Step 4: Simplify right side
    339.44x = 165,185.18
  5. Step 5: Solve for x
    x = 165,185.18/339.44
  6. Step 6: Final answer
    x = 486.65

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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.