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Finding the Fourth Proportional to 381.42, 571.68 and 175.80

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Solution

The fourth proportional to 381.42, 571.68 and 175.80 is: 263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.42 : 571.68 = 175.80 : x
  2. Step 2: Convert to fraction form
    381.42/571.68 = 175.80/x
  3. Step 3: Cross multiply
    381.42x = 571.68 × 175.80
  4. Step 4: Simplify right side
    381.42x = 100,501.34
  5. Step 5: Solve for x
    x = 100,501.34/381.42
  6. Step 6: Final answer
    x = 263.49

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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.