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Finding the Fourth Proportional to 258.24, 353.40 and 256.80

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Solution

The fourth proportional to 258.24, 353.40 and 256.80 is: 351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.24 : 353.40 = 256.80 : x
  2. Step 2: Convert to fraction form
    258.24/353.40 = 256.80/x
  3. Step 3: Cross multiply
    258.24x = 353.40 × 256.80
  4. Step 4: Simplify right side
    258.24x = 90,753.12
  5. Step 5: Solve for x
    x = 90,753.12/258.24
  6. Step 6: Final answer
    x = 351.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.