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Finding the Fourth Proportional to 258.85, 355.34 and 256.42

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Solution

The fourth proportional to 258.85, 355.34 and 256.42 is: 352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.85 : 355.34 = 256.42 : x
  2. Step 2: Convert to fraction form
    258.85/355.34 = 256.42/x
  3. Step 3: Cross multiply
    258.85x = 355.34 × 256.42
  4. Step 4: Simplify right side
    258.85x = 91,116.28
  5. Step 5: Solve for x
    x = 91,116.28/258.85
  6. Step 6: Final answer
    x = 352.00

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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.