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Finding the Fourth Proportional to 472.25, 650.48 and 339.27

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Solution

The fourth proportional to 472.25, 650.48 and 339.27 is: 467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.25 : 650.48 = 339.27 : x
  2. Step 2: Convert to fraction form
    472.25/650.48 = 339.27/x
  3. Step 3: Cross multiply
    472.25x = 650.48 × 339.27
  4. Step 4: Simplify right side
    472.25x = 220,686.65
  5. Step 5: Solve for x
    x = 220,686.65/472.25
  6. Step 6: Final answer
    x = 467.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.