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Finding the Fourth Proportional to 238.01, 356.43 and 180.09

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Solution

The fourth proportional to 238.01, 356.43 and 180.09 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.01 : 356.43 = 180.09 : x
  2. Step 2: Convert to fraction form
    238.01/356.43 = 180.09/x
  3. Step 3: Cross multiply
    238.01x = 356.43 × 180.09
  4. Step 4: Simplify right side
    238.01x = 64,190.15
  5. Step 5: Solve for x
    x = 64,190.15/238.01
  6. Step 6: Final answer
    x = 269.70

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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.