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Finding the Fourth Proportional to 389.46, 580.31 and 346.38

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Solution

The fourth proportional to 389.46, 580.31 and 346.38 is: 516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.46 : 580.31 = 346.38 : x
  2. Step 2: Convert to fraction form
    389.46/580.31 = 346.38/x
  3. Step 3: Cross multiply
    389.46x = 580.31 × 346.38
  4. Step 4: Simplify right side
    389.46x = 201,007.12
  5. Step 5: Solve for x
    x = 201,007.12/389.46
  6. Step 6: Final answer
    x = 516.12

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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.