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Finding the Fourth Proportional to 381.79, 573.14 and 305.70

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Solution

The fourth proportional to 381.79, 573.14 and 305.70 is: 458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.79 : 573.14 = 305.70 : x
  2. Step 2: Convert to fraction form
    381.79/573.14 = 305.70/x
  3. Step 3: Cross multiply
    381.79x = 573.14 × 305.70
  4. Step 4: Simplify right side
    381.79x = 175,208.90
  5. Step 5: Solve for x
    x = 175,208.90/381.79
  6. Step 6: Final answer
    x = 458.91

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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.