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Finding the Fourth Proportional to 313.26, 431.78 and 266.76

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Solution

The fourth proportional to 313.26, 431.78 and 266.76 is: 367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.26 : 431.78 = 266.76 : x
  2. Step 2: Convert to fraction form
    313.26/431.78 = 266.76/x
  3. Step 3: Cross multiply
    313.26x = 431.78 × 266.76
  4. Step 4: Simplify right side
    313.26x = 115,180.30
  5. Step 5: Solve for x
    x = 115,180.30/313.26
  6. Step 6: Final answer
    x = 367.68

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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.