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Finding the Fourth Proportional to 392.65, 589.15 and 209.83

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Solution

The fourth proportional to 392.65, 589.15 and 209.83 is: 314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.65 : 589.15 = 209.83 : x
  2. Step 2: Convert to fraction form
    392.65/589.15 = 209.83/x
  3. Step 3: Cross multiply
    392.65x = 589.15 × 209.83
  4. Step 4: Simplify right side
    392.65x = 123,621.34
  5. Step 5: Solve for x
    x = 123,621.34/392.65
  6. Step 6: Final answer
    x = 314.84

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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.