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Finding the Fourth Proportional to 360.70, 538.60 and 338.92

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Solution

The fourth proportional to 360.70, 538.60 and 338.92 is: 506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.70 : 538.60 = 338.92 : x
  2. Step 2: Convert to fraction form
    360.70/538.60 = 338.92/x
  3. Step 3: Cross multiply
    360.70x = 538.60 × 338.92
  4. Step 4: Simplify right side
    360.70x = 182,542.31
  5. Step 5: Solve for x
    x = 182,542.31/360.70
  6. Step 6: Final answer
    x = 506.08

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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.