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Finding the Fourth Proportional to 395.53, 589.73 and 381.95

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Solution

The fourth proportional to 395.53, 589.73 and 381.95 is: 569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.53 : 589.73 = 381.95 : x
  2. Step 2: Convert to fraction form
    395.53/589.73 = 381.95/x
  3. Step 3: Cross multiply
    395.53x = 589.73 × 381.95
  4. Step 4: Simplify right side
    395.53x = 225,245.38
  5. Step 5: Solve for x
    x = 225,245.38/395.53
  6. Step 6: Final answer
    x = 569.48

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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.