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Finding the Fourth Proportional to 431.75, 595.97 and 257.09

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Solution

The fourth proportional to 431.75, 595.97 and 257.09 is: 354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.75 : 595.97 = 257.09 : x
  2. Step 2: Convert to fraction form
    431.75/595.97 = 257.09/x
  3. Step 3: Cross multiply
    431.75x = 595.97 × 257.09
  4. Step 4: Simplify right side
    431.75x = 153,217.93
  5. Step 5: Solve for x
    x = 153,217.93/431.75
  6. Step 6: Final answer
    x = 354.88

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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.