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Finding the Fourth Proportional to 238.20, 328.82 and 185.64

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Solution

The fourth proportional to 238.20, 328.82 and 185.64 is: 256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.20 : 328.82 = 185.64 : x
  2. Step 2: Convert to fraction form
    238.20/328.82 = 185.64/x
  3. Step 3: Cross multiply
    238.20x = 328.82 × 185.64
  4. Step 4: Simplify right side
    238.20x = 61,042.14
  5. Step 5: Solve for x
    x = 61,042.14/238.20
  6. Step 6: Final answer
    x = 256.26

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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.