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Finding the Fourth Proportional to 389.46, 580.02 and 362.73

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Solution

The fourth proportional to 389.46, 580.02 and 362.73 is: 540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.46 : 580.02 = 362.73 : x
  2. Step 2: Convert to fraction form
    389.46/580.02 = 362.73/x
  3. Step 3: Cross multiply
    389.46x = 580.02 × 362.73
  4. Step 4: Simplify right side
    389.46x = 210,390.65
  5. Step 5: Solve for x
    x = 210,390.65/389.46
  6. Step 6: Final answer
    x = 540.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.