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Finding the Fourth Proportional to 313.75, 431.30 and 276.49

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Solution

The fourth proportional to 313.75, 431.30 and 276.49 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 431.30 = 276.49 : x
  2. Step 2: Convert to fraction form
    313.75/431.30 = 276.49/x
  3. Step 3: Cross multiply
    313.75x = 431.30 × 276.49
  4. Step 4: Simplify right side
    313.75x = 119,250.14
  5. Step 5: Solve for x
    x = 119,250.14/313.75
  6. Step 6: Final answer
    x = 380.08

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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.