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Finding the Fourth Proportional to 375.72, 519.21 and 319.68

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Solution

The fourth proportional to 375.72, 519.21 and 319.68 is: 441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.72 : 519.21 = 319.68 : x
  2. Step 2: Convert to fraction form
    375.72/519.21 = 319.68/x
  3. Step 3: Cross multiply
    375.72x = 519.21 × 319.68
  4. Step 4: Simplify right side
    375.72x = 165,981.05
  5. Step 5: Solve for x
    x = 165,981.05/375.72
  6. Step 6: Final answer
    x = 441.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.