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Finding the Fourth Proportional to 361.05, 497.70 and 255.78

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Solution

The fourth proportional to 361.05, 497.70 and 255.78 is: 352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.05 : 497.70 = 255.78 : x
  2. Step 2: Convert to fraction form
    361.05/497.70 = 255.78/x
  3. Step 3: Cross multiply
    361.05x = 497.70 × 255.78
  4. Step 4: Simplify right side
    361.05x = 127,301.71
  5. Step 5: Solve for x
    x = 127,301.71/361.05
  6. Step 6: Final answer
    x = 352.59

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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.