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Finding the Fourth Proportional to 256.06, 352.94 and 177.49

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Solution

The fourth proportional to 256.06, 352.94 and 177.49 is: 244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.06 : 352.94 = 177.49 : x
  2. Step 2: Convert to fraction form
    256.06/352.94 = 177.49/x
  3. Step 3: Cross multiply
    256.06x = 352.94 × 177.49
  4. Step 4: Simplify right side
    256.06x = 62,642.88
  5. Step 5: Solve for x
    x = 62,642.88/256.06
  6. Step 6: Final answer
    x = 244.64

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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.