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Finding the Fourth Proportional to 381.16, 569.38 and 323.11

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Solution

The fourth proportional to 381.16, 569.38 and 323.11 is: 482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.16 : 569.38 = 323.11 : x
  2. Step 2: Convert to fraction form
    381.16/569.38 = 323.11/x
  3. Step 3: Cross multiply
    381.16x = 569.38 × 323.11
  4. Step 4: Simplify right side
    381.16x = 183,972.37
  5. Step 5: Solve for x
    x = 183,972.37/381.16
  6. Step 6: Final answer
    x = 482.66

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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.