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Finding the Fourth Proportional to 472.49, 708.84 and 164.27

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Solution

The fourth proportional to 472.49, 708.84 and 164.27 is: 246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.49 : 708.84 = 164.27 : x
  2. Step 2: Convert to fraction form
    472.49/708.84 = 164.27/x
  3. Step 3: Cross multiply
    472.49x = 708.84 × 164.27
  4. Step 4: Simplify right side
    472.49x = 116,437.60
  5. Step 5: Solve for x
    x = 116,437.60/472.49
  6. Step 6: Final answer
    x = 246.43

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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.