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Finding the Fourth Proportional to 275.87, 380.90 and 257.51

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Solution

The fourth proportional to 275.87, 380.90 and 257.51 is: 355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.87 : 380.90 = 257.51 : x
  2. Step 2: Convert to fraction form
    275.87/380.90 = 257.51/x
  3. Step 3: Cross multiply
    275.87x = 380.90 × 257.51
  4. Step 4: Simplify right side
    275.87x = 98,087.16
  5. Step 5: Solve for x
    x = 98,087.16/275.87
  6. Step 6: Final answer
    x = 355.55

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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.