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Finding the Fourth Proportional to 314.66, 471.86 and 109.22

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Solution

The fourth proportional to 314.66, 471.86 and 109.22 is: 163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.66 : 471.86 = 109.22 : x
  2. Step 2: Convert to fraction form
    314.66/471.86 = 109.22/x
  3. Step 3: Cross multiply
    314.66x = 471.86 × 109.22
  4. Step 4: Simplify right side
    314.66x = 51,536.55
  5. Step 5: Solve for x
    x = 51,536.55/314.66
  6. Step 6: Final answer
    x = 163.78

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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.