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Finding the Fourth Proportional to 360.06, 496.39 and 266.62

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Solution

The fourth proportional to 360.06, 496.39 and 266.62 is: 367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.06 : 496.39 = 266.62 : x
  2. Step 2: Convert to fraction form
    360.06/496.39 = 266.62/x
  3. Step 3: Cross multiply
    360.06x = 496.39 × 266.62
  4. Step 4: Simplify right side
    360.06x = 132,347.50
  5. Step 5: Solve for x
    x = 132,347.50/360.06
  6. Step 6: Final answer
    x = 367.57

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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.