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Finding the Fourth Proportional to 314.39, 471.84 and 227.76

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Solution

The fourth proportional to 314.39, 471.84 and 227.76 is: 341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.39 : 471.84 = 227.76 : x
  2. Step 2: Convert to fraction form
    314.39/471.84 = 227.76/x
  3. Step 3: Cross multiply
    314.39x = 471.84 × 227.76
  4. Step 4: Simplify right side
    314.39x = 107,466.63
  5. Step 5: Solve for x
    x = 107,466.63/314.39
  6. Step 6: Final answer
    x = 341.83

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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.