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Finding the Fourth Proportional to 392.48, 589.44 and 311.84

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Solution

The fourth proportional to 392.48, 589.44 and 311.84 is: 468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.48 : 589.44 = 311.84 : x
  2. Step 2: Convert to fraction form
    392.48/589.44 = 311.84/x
  3. Step 3: Cross multiply
    392.48x = 589.44 × 311.84
  4. Step 4: Simplify right side
    392.48x = 183,810.97
  5. Step 5: Solve for x
    x = 183,810.97/392.48
  6. Step 6: Final answer
    x = 468.33

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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.