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Finding the Fourth Proportional to 475.56, 712.80 and 186.84

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Solution

The fourth proportional to 475.56, 712.80 and 186.84 is: 280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.56 : 712.80 = 186.84 : x
  2. Step 2: Convert to fraction form
    475.56/712.80 = 186.84/x
  3. Step 3: Cross multiply
    475.56x = 712.80 × 186.84
  4. Step 4: Simplify right side
    475.56x = 133,179.55
  5. Step 5: Solve for x
    x = 133,179.55/475.56
  6. Step 6: Final answer
    x = 280.05

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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.