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Finding the Fourth Proportional to 258.42, 355.61 and 256.82

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Solution

The fourth proportional to 258.42, 355.61 and 256.82 is: 353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.42 : 355.61 = 256.82 : x
  2. Step 2: Convert to fraction form
    258.42/355.61 = 256.82/x
  3. Step 3: Cross multiply
    258.42x = 355.61 × 256.82
  4. Step 4: Simplify right side
    258.42x = 91,326.48
  5. Step 5: Solve for x
    x = 91,326.48/258.42
  6. Step 6: Final answer
    x = 353.40

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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.