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Finding the Fourth Proportional to 256.35, 353.75 and 145.82

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Solution

The fourth proportional to 256.35, 353.75 and 145.82 is: 201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.35 : 353.75 = 145.82 : x
  2. Step 2: Convert to fraction form
    256.35/353.75 = 145.82/x
  3. Step 3: Cross multiply
    256.35x = 353.75 × 145.82
  4. Step 4: Simplify right side
    256.35x = 51,583.98
  5. Step 5: Solve for x
    x = 51,583.98/256.35
  6. Step 6: Final answer
    x = 201.22

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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.