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Finding the Fourth Proportional to 275.37, 412.41 and 229.38

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Solution

The fourth proportional to 275.37, 412.41 and 229.38 is: 343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.37 : 412.41 = 229.38 : x
  2. Step 2: Convert to fraction form
    275.37/412.41 = 229.38/x
  3. Step 3: Cross multiply
    275.37x = 412.41 × 229.38
  4. Step 4: Simplify right side
    275.37x = 94,598.61
  5. Step 5: Solve for x
    x = 94,598.61/275.37
  6. Step 6: Final answer
    x = 343.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.