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Finding the Fourth Proportional to 474.82, 712.14 and 182.35

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Solution

The fourth proportional to 474.82, 712.14 and 182.35 is: 273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.82 : 712.14 = 182.35 : x
  2. Step 2: Convert to fraction form
    474.82/712.14 = 182.35/x
  3. Step 3: Cross multiply
    474.82x = 712.14 × 182.35
  4. Step 4: Simplify right side
    474.82x = 129,858.73
  5. Step 5: Solve for x
    x = 129,858.73/474.82
  6. Step 6: Final answer
    x = 273.49

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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.