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Finding the Fourth Proportional to 312.97, 431.57 and 202.25

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Solution

The fourth proportional to 312.97, 431.57 and 202.25 is: 278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.97 : 431.57 = 202.25 : x
  2. Step 2: Convert to fraction form
    312.97/431.57 = 202.25/x
  3. Step 3: Cross multiply
    312.97x = 431.57 × 202.25
  4. Step 4: Simplify right side
    312.97x = 87,285.48
  5. Step 5: Solve for x
    x = 87,285.48/312.97
  6. Step 6: Final answer
    x = 278.89

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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.