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Finding the Fourth Proportional to 470.72, 705.78 and 182

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Solution

The fourth proportional to 470.72, 705.78 and 182 is: 272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.72 : 705.78 = 182 : x
  2. Step 2: Convert to fraction form
    470.72/705.78 = 182/x
  3. Step 3: Cross multiply
    470.72x = 705.78 × 182
  4. Step 4: Simplify right side
    470.72x = 128,451.96
  5. Step 5: Solve for x
    x = 128,451.96/470.72
  6. Step 6: Final answer
    x = 272.88

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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.