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Finding the Fourth Proportional to 343.97, 517.69 and 257.77

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Solution

The fourth proportional to 343.97, 517.69 and 257.77 is: 387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.97 : 517.69 = 257.77 : x
  2. Step 2: Convert to fraction form
    343.97/517.69 = 257.77/x
  3. Step 3: Cross multiply
    343.97x = 517.69 × 257.77
  4. Step 4: Simplify right side
    343.97x = 133,445.19
  5. Step 5: Solve for x
    x = 133,445.19/343.97
  6. Step 6: Final answer
    x = 387.95

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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.