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Finding the Fourth Proportional to 392.15, 539.99 and 339.60

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Solution

The fourth proportional to 392.15, 539.99 and 339.60 is: 467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.15 : 539.99 = 339.60 : x
  2. Step 2: Convert to fraction form
    392.15/539.99 = 339.60/x
  3. Step 3: Cross multiply
    392.15x = 539.99 × 339.60
  4. Step 4: Simplify right side
    392.15x = 183,378.91
  5. Step 5: Solve for x
    x = 183,378.91/392.15
  6. Step 6: Final answer
    x = 467.63

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Why These Related Problems?

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