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Finding the Fourth Proportional to 260.14, 390.27 and 227.33

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Solution

The fourth proportional to 260.14, 390.27 and 227.33 is: 341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.14 : 390.27 = 227.33 : x
  2. Step 2: Convert to fraction form
    260.14/390.27 = 227.33/x
  3. Step 3: Cross multiply
    260.14x = 390.27 × 227.33
  4. Step 4: Simplify right side
    260.14x = 88,720.08
  5. Step 5: Solve for x
    x = 88,720.08/260.14
  6. Step 6: Final answer
    x = 341.05

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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.