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Finding the Fourth Proportional to 255.97, 382.10 and 236.94

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Solution

The fourth proportional to 255.97, 382.10 and 236.94 is: 353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.97 : 382.10 = 236.94 : x
  2. Step 2: Convert to fraction form
    255.97/382.10 = 236.94/x
  3. Step 3: Cross multiply
    255.97x = 382.10 × 236.94
  4. Step 4: Simplify right side
    255.97x = 90,534.77
  5. Step 5: Solve for x
    x = 90,534.77/255.97
  6. Step 6: Final answer
    x = 353.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.