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Finding the Fourth Proportional to 257.79, 355.37 and 205.35

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Solution

The fourth proportional to 257.79, 355.37 and 205.35 is: 283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.79 : 355.37 = 205.35 : x
  2. Step 2: Convert to fraction form
    257.79/355.37 = 205.35/x
  3. Step 3: Cross multiply
    257.79x = 355.37 × 205.35
  4. Step 4: Simplify right side
    257.79x = 72,975.23
  5. Step 5: Solve for x
    x = 72,975.23/257.79
  6. Step 6: Final answer
    x = 283.08

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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.