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Finding the Fourth Proportional to 166.78, 248.99 and 157.42

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Solution

The fourth proportional to 166.78, 248.99 and 157.42 is: 235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.78 : 248.99 = 157.42 : x
  2. Step 2: Convert to fraction form
    166.78/248.99 = 157.42/x
  3. Step 3: Cross multiply
    166.78x = 248.99 × 157.42
  4. Step 4: Simplify right side
    166.78x = 39,196.01
  5. Step 5: Solve for x
    x = 39,196.01/166.78
  6. Step 6: Final answer
    x = 235.02

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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.