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Finding the Fourth Proportional to 392.73, 589.70 and 311.93

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Solution

The fourth proportional to 392.73, 589.70 and 311.93 is: 468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.73 : 589.70 = 311.93 : x
  2. Step 2: Convert to fraction form
    392.73/589.70 = 311.93/x
  3. Step 3: Cross multiply
    392.73x = 589.70 × 311.93
  4. Step 4: Simplify right side
    392.73x = 183,945.12
  5. Step 5: Solve for x
    x = 183,945.12/392.73
  6. Step 6: Final answer
    x = 468.38

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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.