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Finding the Fourth Proportional to 397.41, 593.64 and 339.36

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Solution

The fourth proportional to 397.41, 593.64 and 339.36 is: 506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.41 : 593.64 = 339.36 : x
  2. Step 2: Convert to fraction form
    397.41/593.64 = 339.36/x
  3. Step 3: Cross multiply
    397.41x = 593.64 × 339.36
  4. Step 4: Simplify right side
    397.41x = 201,457.67
  5. Step 5: Solve for x
    x = 201,457.67/397.41
  6. Step 6: Final answer
    x = 506.93

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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.