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Finding the Fourth Proportional to 400.28, 596.05 and 385.72

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Solution

The fourth proportional to 400.28, 596.05 and 385.72 is: 574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.28 : 596.05 = 385.72 : x
  2. Step 2: Convert to fraction form
    400.28/596.05 = 385.72/x
  3. Step 3: Cross multiply
    400.28x = 596.05 × 385.72
  4. Step 4: Simplify right side
    400.28x = 229,908.41
  5. Step 5: Solve for x
    x = 229,908.41/400.28
  6. Step 6: Final answer
    x = 574.37

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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.