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Finding the Fourth Proportional to 312.88, 471.12 and 241.36

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Solution

The fourth proportional to 312.88, 471.12 and 241.36 is: 363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.88 : 471.12 = 241.36 : x
  2. Step 2: Convert to fraction form
    312.88/471.12 = 241.36/x
  3. Step 3: Cross multiply
    312.88x = 471.12 × 241.36
  4. Step 4: Simplify right side
    312.88x = 113,709.52
  5. Step 5: Solve for x
    x = 113,709.52/312.88
  6. Step 6: Final answer
    x = 363.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.