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Finding the Fourth Proportional to 166.60, 248.45 and 135.88

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Solution

The fourth proportional to 166.60, 248.45 and 135.88 is: 202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.60 : 248.45 = 135.88 : x
  2. Step 2: Convert to fraction form
    166.60/248.45 = 135.88/x
  3. Step 3: Cross multiply
    166.60x = 248.45 × 135.88
  4. Step 4: Simplify right side
    166.60x = 33,759.39
  5. Step 5: Solve for x
    x = 33,759.39/166.60
  6. Step 6: Final answer
    x = 202.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.