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Finding the Fourth Proportional to 470.46, 705.69 and 182.14

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Solution

The fourth proportional to 470.46, 705.69 and 182.14 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.46 : 705.69 = 182.14 : x
  2. Step 2: Convert to fraction form
    470.46/705.69 = 182.14/x
  3. Step 3: Cross multiply
    470.46x = 705.69 × 182.14
  4. Step 4: Simplify right side
    470.46x = 128,534.38
  5. Step 5: Solve for x
    x = 128,534.38/470.46
  6. Step 6: Final answer
    x = 273.21

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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.