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Finding the Fourth Proportional to 470.82, 705.81 and 178.27

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Solution

The fourth proportional to 470.82, 705.81 and 178.27 is: 267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.82 : 705.81 = 178.27 : x
  2. Step 2: Convert to fraction form
    470.82/705.81 = 178.27/x
  3. Step 3: Cross multiply
    470.82x = 705.81 × 178.27
  4. Step 4: Simplify right side
    470.82x = 125,823.43
  5. Step 5: Solve for x
    x = 125,823.43/470.82
  6. Step 6: Final answer
    x = 267.24

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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.