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Finding the Fourth Proportional to 392.64, 587.40 and 331.92

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Solution

The fourth proportional to 392.64, 587.40 and 331.92 is: 496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.64 : 587.40 = 331.92 : x
  2. Step 2: Convert to fraction form
    392.64/587.40 = 331.92/x
  3. Step 3: Cross multiply
    392.64x = 587.40 × 331.92
  4. Step 4: Simplify right side
    392.64x = 194,969.81
  5. Step 5: Solve for x
    x = 194,969.81/392.64
  6. Step 6: Final answer
    x = 496.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.