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Finding the Fourth Proportional to 393.85, 586.85 and 350.75

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Solution

The fourth proportional to 393.85, 586.85 and 350.75 is: 522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.85 : 586.85 = 350.75 : x
  2. Step 2: Convert to fraction form
    393.85/586.85 = 350.75/x
  3. Step 3: Cross multiply
    393.85x = 586.85 × 350.75
  4. Step 4: Simplify right side
    393.85x = 205,837.64
  5. Step 5: Solve for x
    x = 205,837.64/393.85
  6. Step 6: Final answer
    x = 522.63

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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.