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Finding the Fourth Proportional to 352.56, 484.53 and 274.80

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Solution

The fourth proportional to 352.56, 484.53 and 274.80 is: 377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.56 : 484.53 = 274.80 : x
  2. Step 2: Convert to fraction form
    352.56/484.53 = 274.80/x
  3. Step 3: Cross multiply
    352.56x = 484.53 × 274.80
  4. Step 4: Simplify right side
    352.56x = 133,148.84
  5. Step 5: Solve for x
    x = 133,148.84/352.56
  6. Step 6: Final answer
    x = 377.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.