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Finding the Fourth Proportional to 248.67, 342.94 and 173.86

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Solution

The fourth proportional to 248.67, 342.94 and 173.86 is: 239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.67 : 342.94 = 173.86 : x
  2. Step 2: Convert to fraction form
    248.67/342.94 = 173.86/x
  3. Step 3: Cross multiply
    248.67x = 342.94 × 173.86
  4. Step 4: Simplify right side
    248.67x = 59,623.55
  5. Step 5: Solve for x
    x = 59,623.55/248.67
  6. Step 6: Final answer
    x = 239.77

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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.