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Finding the Fourth Proportional to 248.39, 372.71 and 171.41

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Solution

The fourth proportional to 248.39, 372.71 and 171.41 is: 257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.39 : 372.71 = 171.41 : x
  2. Step 2: Convert to fraction form
    248.39/372.71 = 171.41/x
  3. Step 3: Cross multiply
    248.39x = 372.71 × 171.41
  4. Step 4: Simplify right side
    248.39x = 63,886.94
  5. Step 5: Solve for x
    x = 63,886.94/248.39
  6. Step 6: Final answer
    x = 257.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.