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Finding the Fourth Proportional to 351.05, 484.17 and 257.76

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Solution

The fourth proportional to 351.05, 484.17 and 257.76 is: 355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.05 : 484.17 = 257.76 : x
  2. Step 2: Convert to fraction form
    351.05/484.17 = 257.76/x
  3. Step 3: Cross multiply
    351.05x = 484.17 × 257.76
  4. Step 4: Simplify right side
    351.05x = 124,799.66
  5. Step 5: Solve for x
    x = 124,799.66/351.05
  6. Step 6: Final answer
    x = 355.51

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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.