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Finding the Fourth Proportional to 384.66, 573.99 and 343.24

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Solution

The fourth proportional to 384.66, 573.99 and 343.24 is: 512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.66 : 573.99 = 343.24 : x
  2. Step 2: Convert to fraction form
    384.66/573.99 = 343.24/x
  3. Step 3: Cross multiply
    384.66x = 573.99 × 343.24
  4. Step 4: Simplify right side
    384.66x = 197,019.33
  5. Step 5: Solve for x
    x = 197,019.33/384.66
  6. Step 6: Final answer
    x = 512.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.