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Finding the Fourth Proportional to 399.97, 597.20 and 339.13

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Solution

The fourth proportional to 399.97, 597.20 and 339.13 is: 506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.97 : 597.20 = 339.13 : x
  2. Step 2: Convert to fraction form
    399.97/597.20 = 339.13/x
  3. Step 3: Cross multiply
    399.97x = 597.20 × 339.13
  4. Step 4: Simplify right side
    399.97x = 202,528.44
  5. Step 5: Solve for x
    x = 202,528.44/399.97
  6. Step 6: Final answer
    x = 506.36

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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.