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Finding the Fourth Proportional to 275.81, 378.47 and 251.30

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Solution

The fourth proportional to 275.81, 378.47 and 251.30 is: 344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 378.47 = 251.30 : x
  2. Step 2: Convert to fraction form
    275.81/378.47 = 251.30/x
  3. Step 3: Cross multiply
    275.81x = 378.47 × 251.30
  4. Step 4: Simplify right side
    275.81x = 95,111.09
  5. Step 5: Solve for x
    x = 95,111.09/275.81
  6. Step 6: Final answer
    x = 344.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.