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Finding the Fourth Proportional to 393.35, 589.70 and 311.94

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Solution

The fourth proportional to 393.35, 589.70 and 311.94 is: 467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.35 : 589.70 = 311.94 : x
  2. Step 2: Convert to fraction form
    393.35/589.70 = 311.94/x
  3. Step 3: Cross multiply
    393.35x = 589.70 × 311.94
  4. Step 4: Simplify right side
    393.35x = 183,949.46
  5. Step 5: Solve for x
    x = 183,949.46/393.35
  6. Step 6: Final answer
    x = 467.65

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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.