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Finding the Fourth Proportional to 360.26, 496.98 and 310.38

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Solution

The fourth proportional to 360.26, 496.98 and 310.38 is: 428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.26 : 496.98 = 310.38 : x
  2. Step 2: Convert to fraction form
    360.26/496.98 = 310.38/x
  3. Step 3: Cross multiply
    360.26x = 496.98 × 310.38
  4. Step 4: Simplify right side
    360.26x = 154,254.25
  5. Step 5: Solve for x
    x = 154,254.25/360.26
  6. Step 6: Final answer
    x = 428.17

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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.