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Finding the Fourth Proportional to 381.69, 573.81 and 313.72

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Solution

The fourth proportional to 381.69, 573.81 and 313.72 is: 471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.69 : 573.81 = 313.72 : x
  2. Step 2: Convert to fraction form
    381.69/573.81 = 313.72/x
  3. Step 3: Cross multiply
    381.69x = 573.81 × 313.72
  4. Step 4: Simplify right side
    381.69x = 180,015.67
  5. Step 5: Solve for x
    x = 180,015.67/381.69
  6. Step 6: Final answer
    x = 471.63

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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.