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Finding the Fourth Proportional to 256.63, 387.10 and 241.66

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Solution

The fourth proportional to 256.63, 387.10 and 241.66 is: 364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.63 : 387.10 = 241.66 : x
  2. Step 2: Convert to fraction form
    256.63/387.10 = 241.66/x
  3. Step 3: Cross multiply
    256.63x = 387.10 × 241.66
  4. Step 4: Simplify right side
    256.63x = 93,546.59
  5. Step 5: Solve for x
    x = 93,546.59/256.63
  6. Step 6: Final answer
    x = 364.52

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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.