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Finding the Fourth Proportional to 381.09, 574.77 and 368.78

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Solution

The fourth proportional to 381.09, 574.77 and 368.78 is: 556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.09 : 574.77 = 368.78 : x
  2. Step 2: Convert to fraction form
    381.09/574.77 = 368.78/x
  3. Step 3: Cross multiply
    381.09x = 574.77 × 368.78
  4. Step 4: Simplify right side
    381.09x = 211,960.81
  5. Step 5: Solve for x
    x = 211,960.81/381.09
  6. Step 6: Final answer
    x = 556.20

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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.