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Finding the Fourth Proportional to 166.03, 248.48 and 153.85

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Solution

The fourth proportional to 166.03, 248.48 and 153.85 is: 230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.03 : 248.48 = 153.85 : x
  2. Step 2: Convert to fraction form
    166.03/248.48 = 153.85/x
  3. Step 3: Cross multiply
    166.03x = 248.48 × 153.85
  4. Step 4: Simplify right side
    166.03x = 38,229.17
  5. Step 5: Solve for x
    x = 38,229.17/166.03
  6. Step 6: Final answer
    x = 230.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.