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Finding the Fourth Proportional to 475.03, 712.38 and 182.61

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Solution

The fourth proportional to 475.03, 712.38 and 182.61 is: 273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.03 : 712.38 = 182.61 : x
  2. Step 2: Convert to fraction form
    475.03/712.38 = 182.61/x
  3. Step 3: Cross multiply
    475.03x = 712.38 × 182.61
  4. Step 4: Simplify right side
    475.03x = 130,087.71
  5. Step 5: Solve for x
    x = 130,087.71/475.03
  6. Step 6: Final answer
    x = 273.85

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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.