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Finding the Fourth Proportional to 472.09, 708.29 and 164.02

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Solution

The fourth proportional to 472.09, 708.29 and 164.02 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.09 : 708.29 = 164.02 : x
  2. Step 2: Convert to fraction form
    472.09/708.29 = 164.02/x
  3. Step 3: Cross multiply
    472.09x = 708.29 × 164.02
  4. Step 4: Simplify right side
    472.09x = 116,169.36
  5. Step 5: Solve for x
    x = 116,169.36/472.09
  6. Step 6: Final answer
    x = 246.08

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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.