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Finding the Fourth Proportional to 472.36, 708.09 and 229.06

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Solution

The fourth proportional to 472.36, 708.09 and 229.06 is: 343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.36 : 708.09 = 229.06 : x
  2. Step 2: Convert to fraction form
    472.36/708.09 = 229.06/x
  3. Step 3: Cross multiply
    472.36x = 708.09 × 229.06
  4. Step 4: Simplify right side
    472.36x = 162,195.10
  5. Step 5: Solve for x
    x = 162,195.10/472.36
  6. Step 6: Final answer
    x = 343.37

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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.