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Finding the Fourth Proportional to 389.97, 538.34 and 336.59

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Solution

The fourth proportional to 389.97, 538.34 and 336.59 is: 464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.97 : 538.34 = 336.59 : x
  2. Step 2: Convert to fraction form
    389.97/538.34 = 336.59/x
  3. Step 3: Cross multiply
    389.97x = 538.34 × 336.59
  4. Step 4: Simplify right side
    389.97x = 181,198.77
  5. Step 5: Solve for x
    x = 181,198.77/389.97
  6. Step 6: Final answer
    x = 464.65

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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.