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Finding the Fourth Proportional to 318.44, 477.75 and 227.84

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Solution

The fourth proportional to 318.44, 477.75 and 227.84 is: 341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.44 : 477.75 = 227.84 : x
  2. Step 2: Convert to fraction form
    318.44/477.75 = 227.84/x
  3. Step 3: Cross multiply
    318.44x = 477.75 × 227.84
  4. Step 4: Simplify right side
    318.44x = 108,848.17
  5. Step 5: Solve for x
    x = 108,848.17/318.44
  6. Step 6: Final answer
    x = 341.82

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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.