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Finding the Fourth Proportional to 295.47, 405.11 and 274.14

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Solution

The fourth proportional to 295.47, 405.11 and 274.14 is: 375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.47 : 405.11 = 274.14 : x
  2. Step 2: Convert to fraction form
    295.47/405.11 = 274.14/x
  3. Step 3: Cross multiply
    295.47x = 405.11 × 274.14
  4. Step 4: Simplify right side
    295.47x = 111,057.54
  5. Step 5: Solve for x
    x = 111,057.54/295.47
  6. Step 6: Final answer
    x = 375.87

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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.