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Finding the Fourth Proportional to 312.82, 431.67 and 247.48

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Solution

The fourth proportional to 312.82, 431.67 and 247.48 is: 341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.82 : 431.67 = 247.48 : x
  2. Step 2: Convert to fraction form
    312.82/431.67 = 247.48/x
  3. Step 3: Cross multiply
    312.82x = 431.67 × 247.48
  4. Step 4: Simplify right side
    312.82x = 106,829.69
  5. Step 5: Solve for x
    x = 106,829.69/312.82
  6. Step 6: Final answer
    x = 341.51

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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.