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Finding the Fourth Proportional to 248.39, 342.92 and 165.61

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Solution

The fourth proportional to 248.39, 342.92 and 165.61 is: 228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.39 : 342.92 = 165.61 : x
  2. Step 2: Convert to fraction form
    248.39/342.92 = 165.61/x
  3. Step 3: Cross multiply
    248.39x = 342.92 × 165.61
  4. Step 4: Simplify right side
    248.39x = 56,790.98
  5. Step 5: Solve for x
    x = 56,790.98/248.39
  6. Step 6: Final answer
    x = 228.64

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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.