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Finding the Fourth Proportional to 253.52, 349.82 and 166.18

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Solution

The fourth proportional to 253.52, 349.82 and 166.18 is: 229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.52 : 349.82 = 166.18 : x
  2. Step 2: Convert to fraction form
    253.52/349.82 = 166.18/x
  3. Step 3: Cross multiply
    253.52x = 349.82 × 166.18
  4. Step 4: Simplify right side
    253.52x = 58,133.09
  5. Step 5: Solve for x
    x = 58,133.09/253.52
  6. Step 6: Final answer
    x = 229.30

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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.