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Finding the Fourth Proportional to 255.94, 382.02 and 234.29

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Solution

The fourth proportional to 255.94, 382.02 and 234.29 is: 349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.94 : 382.02 = 234.29 : x
  2. Step 2: Convert to fraction form
    255.94/382.02 = 234.29/x
  3. Step 3: Cross multiply
    255.94x = 382.02 × 234.29
  4. Step 4: Simplify right side
    255.94x = 89,503.47
  5. Step 5: Solve for x
    x = 89,503.47/255.94
  6. Step 6: Final answer
    x = 349.70

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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.