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Finding the Fourth Proportional to 393.06, 538.82 and 389.43

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Solution

The fourth proportional to 393.06, 538.82 and 389.43 is: 533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.06 : 538.82 = 389.43 : x
  2. Step 2: Convert to fraction form
    393.06/538.82 = 389.43/x
  3. Step 3: Cross multiply
    393.06x = 538.82 × 389.43
  4. Step 4: Simplify right side
    393.06x = 209,830.73
  5. Step 5: Solve for x
    x = 209,830.73/393.06
  6. Step 6: Final answer
    x = 533.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.