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Finding the Fourth Proportional to 380.10, 572.43 and 334.94

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Solution

The fourth proportional to 380.10, 572.43 and 334.94 is: 504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.10 : 572.43 = 334.94 : x
  2. Step 2: Convert to fraction form
    380.10/572.43 = 334.94/x
  3. Step 3: Cross multiply
    380.10x = 572.43 × 334.94
  4. Step 4: Simplify right side
    380.10x = 191,729.70
  5. Step 5: Solve for x
    x = 191,729.70/380.10
  6. Step 6: Final answer
    x = 504.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.