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Finding the Fourth Proportional to 310.82, 431.78 and 307.94

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Solution

The fourth proportional to 310.82, 431.78 and 307.94 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.82 : 431.78 = 307.94 : x
  2. Step 2: Convert to fraction form
    310.82/431.78 = 307.94/x
  3. Step 3: Cross multiply
    310.82x = 431.78 × 307.94
  4. Step 4: Simplify right side
    310.82x = 132,962.33
  5. Step 5: Solve for x
    x = 132,962.33/310.82
  6. Step 6: Final answer
    x = 427.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.