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Finding the Fourth Proportional to 381.07, 571.10 and 175.19

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Solution

The fourth proportional to 381.07, 571.10 and 175.19 is: 262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.07 : 571.10 = 175.19 : x
  2. Step 2: Convert to fraction form
    381.07/571.10 = 175.19/x
  3. Step 3: Cross multiply
    381.07x = 571.10 × 175.19
  4. Step 4: Simplify right side
    381.07x = 100,048.71
  5. Step 5: Solve for x
    x = 100,048.71/381.07
  6. Step 6: Final answer
    x = 262.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.