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Finding the Fourth Proportional to 393.01, 543.53 and 343.80

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Solution

The fourth proportional to 393.01, 543.53 and 343.80 is: 475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.01 : 543.53 = 343.80 : x
  2. Step 2: Convert to fraction form
    393.01/543.53 = 343.80/x
  3. Step 3: Cross multiply
    393.01x = 543.53 × 343.80
  4. Step 4: Simplify right side
    393.01x = 186,863.90
  5. Step 5: Solve for x
    x = 186,863.90/393.01
  6. Step 6: Final answer
    x = 475.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.