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Finding the Fourth Proportional to 340.61, 467.07 and 323.60

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Solution

The fourth proportional to 340.61, 467.07 and 323.60 is: 443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.61 : 467.07 = 323.60 : x
  2. Step 2: Convert to fraction form
    340.61/467.07 = 323.60/x
  3. Step 3: Cross multiply
    340.61x = 467.07 × 323.60
  4. Step 4: Simplify right side
    340.61x = 151,140.30
  5. Step 5: Solve for x
    x = 151,140.30/340.61
  6. Step 6: Final answer
    x = 443.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.