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Finding the Fourth Proportional to 393.56, 586.90 and 349.31

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Solution

The fourth proportional to 393.56, 586.90 and 349.31 is: 520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.56 : 586.90 = 349.31 : x
  2. Step 2: Convert to fraction form
    393.56/586.90 = 349.31/x
  3. Step 3: Cross multiply
    393.56x = 586.90 × 349.31
  4. Step 4: Simplify right side
    393.56x = 205,007.54
  5. Step 5: Solve for x
    x = 205,007.54/393.56
  6. Step 6: Final answer
    x = 520.91

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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.