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Finding the Fourth Proportional to 256.66, 353.66 and 182.90

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Solution

The fourth proportional to 256.66, 353.66 and 182.90 is: 252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.66 : 353.66 = 182.90 : x
  2. Step 2: Convert to fraction form
    256.66/353.66 = 182.90/x
  3. Step 3: Cross multiply
    256.66x = 353.66 × 182.90
  4. Step 4: Simplify right side
    256.66x = 64,684.41
  5. Step 5: Solve for x
    x = 64,684.41/256.66
  6. Step 6: Final answer
    x = 252.02

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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.