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Finding the Fourth Proportional to 392.84, 541.44 and 287.90

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Solution

The fourth proportional to 392.84, 541.44 and 287.90 is: 396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 541.44 = 287.90 : x
  2. Step 2: Convert to fraction form
    392.84/541.44 = 287.90/x
  3. Step 3: Cross multiply
    392.84x = 541.44 × 287.90
  4. Step 4: Simplify right side
    392.84x = 155,877.87
  5. Step 5: Solve for x
    x = 155,877.87/392.84
  6. Step 6: Final answer
    x = 396.80

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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.