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Finding the Fourth Proportional to 166.30, 248.39 and 142

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Solution

The fourth proportional to 166.30, 248.39 and 142 is: 212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.30 : 248.39 = 142 : x
  2. Step 2: Convert to fraction form
    166.30/248.39 = 142/x
  3. Step 3: Cross multiply
    166.30x = 248.39 × 142
  4. Step 4: Simplify right side
    166.30x = 35,271.38
  5. Step 5: Solve for x
    x = 35,271.38/166.30
  6. Step 6: Final answer
    x = 212.09

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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.