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Finding the Fourth Proportional to 313.54, 471.22 and 301.39

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Solution

The fourth proportional to 313.54, 471.22 and 301.39 is: 452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.54 : 471.22 = 301.39 : x
  2. Step 2: Convert to fraction form
    313.54/471.22 = 301.39/x
  3. Step 3: Cross multiply
    313.54x = 471.22 × 301.39
  4. Step 4: Simplify right side
    313.54x = 142,019.06
  5. Step 5: Solve for x
    x = 142,019.06/313.54
  6. Step 6: Final answer
    x = 452.96

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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.