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Finding the Fourth Proportional to 360.27, 537.96 and 319.38

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Solution

The fourth proportional to 360.27, 537.96 and 319.38 is: 476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.27 : 537.96 = 319.38 : x
  2. Step 2: Convert to fraction form
    360.27/537.96 = 319.38/x
  3. Step 3: Cross multiply
    360.27x = 537.96 × 319.38
  4. Step 4: Simplify right side
    360.27x = 171,813.66
  5. Step 5: Solve for x
    x = 171,813.66/360.27
  6. Step 6: Final answer
    x = 476.90

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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.