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Finding the Fourth Proportional to 344.25, 514.62 and 257.55

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Solution

The fourth proportional to 344.25, 514.62 and 257.55 is: 385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.25 : 514.62 = 257.55 : x
  2. Step 2: Convert to fraction form
    344.25/514.62 = 257.55/x
  3. Step 3: Cross multiply
    344.25x = 514.62 × 257.55
  4. Step 4: Simplify right side
    344.25x = 132,540.38
  5. Step 5: Solve for x
    x = 132,540.38/344.25
  6. Step 6: Final answer
    x = 385.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.