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Finding the Fourth Proportional to 431.97, 596.22 and 257.28

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Solution

The fourth proportional to 431.97, 596.22 and 257.28 is: 355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.97 : 596.22 = 257.28 : x
  2. Step 2: Convert to fraction form
    431.97/596.22 = 257.28/x
  3. Step 3: Cross multiply
    431.97x = 596.22 × 257.28
  4. Step 4: Simplify right side
    431.97x = 153,395.48
  5. Step 5: Solve for x
    x = 153,395.48/431.97
  6. Step 6: Final answer
    x = 355.11

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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.