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Finding the Fourth Proportional to 257.54, 352.86 and 253.94

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Solution

The fourth proportional to 257.54, 352.86 and 253.94 is: 347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.54 : 352.86 = 253.94 : x
  2. Step 2: Convert to fraction form
    257.54/352.86 = 253.94/x
  3. Step 3: Cross multiply
    257.54x = 352.86 × 253.94
  4. Step 4: Simplify right side
    257.54x = 89,605.27
  5. Step 5: Solve for x
    x = 89,605.27/257.54
  6. Step 6: Final answer
    x = 347.93

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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.