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Finding the Fourth Proportional to 400.44, 596.31 and 389.64

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Solution

The fourth proportional to 400.44, 596.31 and 389.64 is: 580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.44 : 596.31 = 389.64 : x
  2. Step 2: Convert to fraction form
    400.44/596.31 = 389.64/x
  3. Step 3: Cross multiply
    400.44x = 596.31 × 389.64
  4. Step 4: Simplify right side
    400.44x = 232,346.23
  5. Step 5: Solve for x
    x = 232,346.23/400.44
  6. Step 6: Final answer
    x = 580.23

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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.