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Finding the Fourth Proportional to 393.40, 591.23 and 389.28

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Solution

The fourth proportional to 393.40, 591.23 and 389.28 is: 585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.40 : 591.23 = 389.28 : x
  2. Step 2: Convert to fraction form
    393.40/591.23 = 389.28/x
  3. Step 3: Cross multiply
    393.40x = 591.23 × 389.28
  4. Step 4: Simplify right side
    393.40x = 230,157.20
  5. Step 5: Solve for x
    x = 230,157.20/393.40
  6. Step 6: Final answer
    x = 585.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.