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Finding the Fourth Proportional to 238.53, 331.10 and 232.77

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Solution

The fourth proportional to 238.53, 331.10 and 232.77 is: 323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.53 : 331.10 = 232.77 : x
  2. Step 2: Convert to fraction form
    238.53/331.10 = 232.77/x
  3. Step 3: Cross multiply
    238.53x = 331.10 × 232.77
  4. Step 4: Simplify right side
    238.53x = 77,070.15
  5. Step 5: Solve for x
    x = 77,070.15/238.53
  6. Step 6: Final answer
    x = 323.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.