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Finding the Fourth Proportional to 470.39, 705.42 and 223.34

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Solution

The fourth proportional to 470.39, 705.42 and 223.34 is: 334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.39 : 705.42 = 223.34 : x
  2. Step 2: Convert to fraction form
    470.39/705.42 = 223.34/x
  3. Step 3: Cross multiply
    470.39x = 705.42 × 223.34
  4. Step 4: Simplify right side
    470.39x = 157,544.98
  5. Step 5: Solve for x
    x = 157,544.98/470.39
  6. Step 6: Final answer
    x = 334.93

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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.