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Finding the Fourth Proportional to 475.12, 712.88 and 186.64

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Solution

The fourth proportional to 475.12, 712.88 and 186.64 is: 280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.12 : 712.88 = 186.64 : x
  2. Step 2: Convert to fraction form
    475.12/712.88 = 186.64/x
  3. Step 3: Cross multiply
    475.12x = 712.88 × 186.64
  4. Step 4: Simplify right side
    475.12x = 133,051.92
  5. Step 5: Solve for x
    x = 133,051.92/475.12
  6. Step 6: Final answer
    x = 280.04

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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.