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Finding the Fourth Proportional to 252.63, 348.80 and 168.69

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Solution

The fourth proportional to 252.63, 348.80 and 168.69 is: 232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.63 : 348.80 = 168.69 : x
  2. Step 2: Convert to fraction form
    252.63/348.80 = 168.69/x
  3. Step 3: Cross multiply
    252.63x = 348.80 × 168.69
  4. Step 4: Simplify right side
    252.63x = 58,838.23
  5. Step 5: Solve for x
    x = 58,838.23/252.63
  6. Step 6: Final answer
    x = 232.90

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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.