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Finding the Fourth Proportional to 355.80, 488.31 and 340.44

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Solution

The fourth proportional to 355.80, 488.31 and 340.44 is: 467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.80 : 488.31 = 340.44 : x
  2. Step 2: Convert to fraction form
    355.80/488.31 = 340.44/x
  3. Step 3: Cross multiply
    355.80x = 488.31 × 340.44
  4. Step 4: Simplify right side
    355.80x = 166,240.26
  5. Step 5: Solve for x
    x = 166,240.26/355.80
  6. Step 6: Final answer
    x = 467.23

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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.