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Finding the Fourth Proportional to 384.30, 573.50 and 343.29

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Solution

The fourth proportional to 384.30, 573.50 and 343.29 is: 512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 573.50 = 343.29 : x
  2. Step 2: Convert to fraction form
    384.30/573.50 = 343.29/x
  3. Step 3: Cross multiply
    384.30x = 573.50 × 343.29
  4. Step 4: Simplify right side
    384.30x = 196,876.82
  5. Step 5: Solve for x
    x = 196,876.82/384.30
  6. Step 6: Final answer
    x = 512.30

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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.