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Finding the Fourth Proportional to 360.26, 496.74 and 340.80

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Solution

The fourth proportional to 360.26, 496.74 and 340.80 is: 469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.26 : 496.74 = 340.80 : x
  2. Step 2: Convert to fraction form
    360.26/496.74 = 340.80/x
  3. Step 3: Cross multiply
    360.26x = 496.74 × 340.80
  4. Step 4: Simplify right side
    360.26x = 169,288.41
  5. Step 5: Solve for x
    x = 169,288.41/360.26
  6. Step 6: Final answer
    x = 469.91

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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.