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Finding the Fourth Proportional to 256.19, 353.60 and 163.06

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Solution

The fourth proportional to 256.19, 353.60 and 163.06 is: 225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.19 : 353.60 = 163.06 : x
  2. Step 2: Convert to fraction form
    256.19/353.60 = 163.06/x
  3. Step 3: Cross multiply
    256.19x = 353.60 × 163.06
  4. Step 4: Simplify right side
    256.19x = 57,658.02
  5. Step 5: Solve for x
    x = 57,658.02/256.19
  6. Step 6: Final answer
    x = 225.06

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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.