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Finding the Fourth Proportional to 238.75, 328.95 and 183.31

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Solution

The fourth proportional to 238.75, 328.95 and 183.31 is: 252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.75 : 328.95 = 183.31 : x
  2. Step 2: Convert to fraction form
    238.75/328.95 = 183.31/x
  3. Step 3: Cross multiply
    238.75x = 328.95 × 183.31
  4. Step 4: Simplify right side
    238.75x = 60,299.82
  5. Step 5: Solve for x
    x = 60,299.82/238.75
  6. Step 6: Final answer
    x = 252.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.