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Finding the Fourth Proportional to 384.18, 573.30 and 343.29

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Solution

The fourth proportional to 384.18, 573.30 and 343.29 is: 512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.18 : 573.30 = 343.29 : x
  2. Step 2: Convert to fraction form
    384.18/573.30 = 343.29/x
  3. Step 3: Cross multiply
    384.18x = 573.30 × 343.29
  4. Step 4: Simplify right side
    384.18x = 196,808.16
  5. Step 5: Solve for x
    x = 196,808.16/384.18
  6. Step 6: Final answer
    x = 512.28

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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.