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Finding the Fourth Proportional to 238.25, 329.40 and 183.17

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Solution

The fourth proportional to 238.25, 329.40 and 183.17 is: 253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.25 : 329.40 = 183.17 : x
  2. Step 2: Convert to fraction form
    238.25/329.40 = 183.17/x
  3. Step 3: Cross multiply
    238.25x = 329.40 × 183.17
  4. Step 4: Simplify right side
    238.25x = 60,336.20
  5. Step 5: Solve for x
    x = 60,336.20/238.25
  6. Step 6: Final answer
    x = 253.25

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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.