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Finding the Fourth Proportional to 310.25, 426.56 and 276.75

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Solution

The fourth proportional to 310.25, 426.56 and 276.75 is: 380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.25 : 426.56 = 276.75 : x
  2. Step 2: Convert to fraction form
    310.25/426.56 = 276.75/x
  3. Step 3: Cross multiply
    310.25x = 426.56 × 276.75
  4. Step 4: Simplify right side
    310.25x = 118,051.17
  5. Step 5: Solve for x
    x = 118,051.17/310.25
  6. Step 6: Final answer
    x = 380.50

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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.