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Finding the Fourth Proportional to 380, 566.92 and 343.56

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Solution

The fourth proportional to 380, 566.92 and 343.56 is: 512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380 : 566.92 = 343.56 : x
  2. Step 2: Convert to fraction form
    380/566.92 = 343.56/x
  3. Step 3: Cross multiply
    380x = 566.92 × 343.56
  4. Step 4: Simplify right side
    380x = 194,771.04
  5. Step 5: Solve for x
    x = 194,771.04/380
  6. Step 6: Final answer
    x = 512.56

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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.