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Finding the Fourth Proportional to 470.30, 705.53 and 227.26

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Solution

The fourth proportional to 470.30, 705.53 and 227.26 is: 340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.30 : 705.53 = 227.26 : x
  2. Step 2: Convert to fraction form
    470.30/705.53 = 227.26/x
  3. Step 3: Cross multiply
    470.30x = 705.53 × 227.26
  4. Step 4: Simplify right side
    470.30x = 160,338.75
  5. Step 5: Solve for x
    x = 160,338.75/470.30
  6. Step 6: Final answer
    x = 340.93

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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.