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Finding the Fourth Proportional to 256.26, 354.04 and 240.84

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Solution

The fourth proportional to 256.26, 354.04 and 240.84 is: 332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 354.04 = 240.84 : x
  2. Step 2: Convert to fraction form
    256.26/354.04 = 240.84/x
  3. Step 3: Cross multiply
    256.26x = 354.04 × 240.84
  4. Step 4: Simplify right side
    256.26x = 85,266.39
  5. Step 5: Solve for x
    x = 85,266.39/256.26
  6. Step 6: Final answer
    x = 332.73

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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.