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Finding the Fourth Proportional to 381.16, 569.41 and 374.68

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Solution

The fourth proportional to 381.16, 569.41 and 374.68 is: 559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.16 : 569.41 = 374.68 : x
  2. Step 2: Convert to fraction form
    381.16/569.41 = 374.68/x
  3. Step 3: Cross multiply
    381.16x = 569.41 × 374.68
  4. Step 4: Simplify right side
    381.16x = 213,346.54
  5. Step 5: Solve for x
    x = 213,346.54/381.16
  6. Step 6: Final answer
    x = 559.73

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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.