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Finding the Fourth Proportional to 470.63, 706.40 and 227.33

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Solution

The fourth proportional to 470.63, 706.40 and 227.33 is: 341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.63 : 706.40 = 227.33 : x
  2. Step 2: Convert to fraction form
    470.63/706.40 = 227.33/x
  3. Step 3: Cross multiply
    470.63x = 706.40 × 227.33
  4. Step 4: Simplify right side
    470.63x = 160,586.02
  5. Step 5: Solve for x
    x = 160,586.02/470.63
  6. Step 6: Final answer
    x = 341.21

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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.