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Finding the Fourth Proportional to 399.97, 596.43 and 372.23

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Solution

The fourth proportional to 399.97, 596.43 and 372.23 is: 555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.97 : 596.43 = 372.23 : x
  2. Step 2: Convert to fraction form
    399.97/596.43 = 372.23/x
  3. Step 3: Cross multiply
    399.97x = 596.43 × 372.23
  4. Step 4: Simplify right side
    399.97x = 222,008.39
  5. Step 5: Solve for x
    x = 222,008.39/399.97
  6. Step 6: Final answer
    x = 555.06

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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.