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Finding the Fourth Proportional to 257.80, 352.61 and 253.96

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Solution

The fourth proportional to 257.80, 352.61 and 253.96 is: 347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.80 : 352.61 = 253.96 : x
  2. Step 2: Convert to fraction form
    257.80/352.61 = 253.96/x
  3. Step 3: Cross multiply
    257.80x = 352.61 × 253.96
  4. Step 4: Simplify right side
    257.80x = 89,548.84
  5. Step 5: Solve for x
    x = 89,548.84/257.80
  6. Step 6: Final answer
    x = 347.36

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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.