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Finding the Fourth Proportional to 470.76, 705.84 and 227.28

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Solution

The fourth proportional to 470.76, 705.84 and 227.28 is: 340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 705.84 = 227.28 : x
  2. Step 2: Convert to fraction form
    470.76/705.84 = 227.28/x
  3. Step 3: Cross multiply
    470.76x = 705.84 × 227.28
  4. Step 4: Simplify right side
    470.76x = 160,423.32
  5. Step 5: Solve for x
    x = 160,423.32/470.76
  6. Step 6: Final answer
    x = 340.78

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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.