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Finding the Fourth Proportional to 256.74, 387.01 and 241.88

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Solution

The fourth proportional to 256.74, 387.01 and 241.88 is: 364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.74 : 387.01 = 241.88 : x
  2. Step 2: Convert to fraction form
    256.74/387.01 = 241.88/x
  3. Step 3: Cross multiply
    256.74x = 387.01 × 241.88
  4. Step 4: Simplify right side
    256.74x = 93,609.98
  5. Step 5: Solve for x
    x = 93,609.98/256.74
  6. Step 6: Final answer
    x = 364.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.