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Finding the Fourth Proportional to 238.04, 356.56 and 164.72

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Solution

The fourth proportional to 238.04, 356.56 and 164.72 is: 246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.04 : 356.56 = 164.72 : x
  2. Step 2: Convert to fraction form
    238.04/356.56 = 164.72/x
  3. Step 3: Cross multiply
    238.04x = 356.56 × 164.72
  4. Step 4: Simplify right side
    238.04x = 58,732.56
  5. Step 5: Solve for x
    x = 58,732.56/238.04
  6. Step 6: Final answer
    x = 246.73

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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.