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Finding the Fourth Proportional to 393.39, 586.23 and 380.33

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Solution

The fourth proportional to 393.39, 586.23 and 380.33 is: 566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.39 : 586.23 = 380.33 : x
  2. Step 2: Convert to fraction form
    393.39/586.23 = 380.33/x
  3. Step 3: Cross multiply
    393.39x = 586.23 × 380.33
  4. Step 4: Simplify right side
    393.39x = 222,959.77
  5. Step 5: Solve for x
    x = 222,959.77/393.39
  6. Step 6: Final answer
    x = 566.77

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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.