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Finding the Fourth Proportional to 470.90, 706.38 and 227.49

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Solution

The fourth proportional to 470.90, 706.38 and 227.49 is: 341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.90 : 706.38 = 227.49 : x
  2. Step 2: Convert to fraction form
    470.90/706.38 = 227.49/x
  3. Step 3: Cross multiply
    470.90x = 706.38 × 227.49
  4. Step 4: Simplify right side
    470.90x = 160,694.39
  5. Step 5: Solve for x
    x = 160,694.39/470.90
  6. Step 6: Final answer
    x = 341.25

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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.