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Finding the Fourth Proportional to 381.07, 568.38 and 369.53

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Solution

The fourth proportional to 381.07, 568.38 and 369.53 is: 551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.07 : 568.38 = 369.53 : x
  2. Step 2: Convert to fraction form
    381.07/568.38 = 369.53/x
  3. Step 3: Cross multiply
    381.07x = 568.38 × 369.53
  4. Step 4: Simplify right side
    381.07x = 210,035.45
  5. Step 5: Solve for x
    x = 210,035.45/381.07
  6. Step 6: Final answer
    x = 551.18

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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.