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Finding the Fourth Proportional to 381.68, 569.74 and 330.68

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Solution

The fourth proportional to 381.68, 569.74 and 330.68 is: 493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.68 : 569.74 = 330.68 : x
  2. Step 2: Convert to fraction form
    381.68/569.74 = 330.68/x
  3. Step 3: Cross multiply
    381.68x = 569.74 × 330.68
  4. Step 4: Simplify right side
    381.68x = 188,401.62
  5. Step 5: Solve for x
    x = 188,401.62/381.68
  6. Step 6: Final answer
    x = 493.61

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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.