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Finding the Fourth Proportional to 384.14, 573.21 and 343.22

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Solution

The fourth proportional to 384.14, 573.21 and 343.22 is: 512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.14 : 573.21 = 343.22 : x
  2. Step 2: Convert to fraction form
    384.14/573.21 = 343.22/x
  3. Step 3: Cross multiply
    384.14x = 573.21 × 343.22
  4. Step 4: Simplify right side
    384.14x = 196,735.42
  5. Step 5: Solve for x
    x = 196,735.42/384.14
  6. Step 6: Final answer
    x = 512.15

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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.