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Finding the Fourth Proportional to 381.16, 568.07 and 377.98

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Solution

The fourth proportional to 381.16, 568.07 and 377.98 is: 563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.16 : 568.07 = 377.98 : x
  2. Step 2: Convert to fraction form
    381.16/568.07 = 377.98/x
  3. Step 3: Cross multiply
    381.16x = 568.07 × 377.98
  4. Step 4: Simplify right side
    381.16x = 214,719.10
  5. Step 5: Solve for x
    x = 214,719.10/381.16
  6. Step 6: Final answer
    x = 563.33

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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.