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Finding the Fourth Proportional to 400.28, 597.36 and 395.12

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Solution

The fourth proportional to 400.28, 597.36 and 395.12 is: 589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.28 : 597.36 = 395.12 : x
  2. Step 2: Convert to fraction form
    400.28/597.36 = 395.12/x
  3. Step 3: Cross multiply
    400.28x = 597.36 × 395.12
  4. Step 4: Simplify right side
    400.28x = 236,025.90
  5. Step 5: Solve for x
    x = 236,025.90/400.28
  6. Step 6: Final answer
    x = 589.65

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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.