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Finding the Fourth Proportional to 275.05, 414.65 and 257.43

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Solution

The fourth proportional to 275.05, 414.65 and 257.43 is: 388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.05 : 414.65 = 257.43 : x
  2. Step 2: Convert to fraction form
    275.05/414.65 = 257.43/x
  3. Step 3: Cross multiply
    275.05x = 414.65 × 257.43
  4. Step 4: Simplify right side
    275.05x = 106,741.77
  5. Step 5: Solve for x
    x = 106,741.77/275.05
  6. Step 6: Final answer
    x = 388.09

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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.