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Finding the Fourth Proportional to 395.16, 596.21 and 381.52

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Solution

The fourth proportional to 395.16, 596.21 and 381.52 is: 575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.16 : 596.21 = 381.52 : x
  2. Step 2: Convert to fraction form
    395.16/596.21 = 381.52/x
  3. Step 3: Cross multiply
    395.16x = 596.21 × 381.52
  4. Step 4: Simplify right side
    395.16x = 227,466.04
  5. Step 5: Solve for x
    x = 227,466.04/395.16
  6. Step 6: Final answer
    x = 575.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.