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Finding the Fourth Proportional to 166.01, 248.88 and 144.29

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Solution

The fourth proportional to 166.01, 248.88 and 144.29 is: 216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.01 : 248.88 = 144.29 : x
  2. Step 2: Convert to fraction form
    166.01/248.88 = 144.29/x
  3. Step 3: Cross multiply
    166.01x = 248.88 × 144.29
  4. Step 4: Simplify right side
    166.01x = 35,910.17
  5. Step 5: Solve for x
    x = 35,910.17/166.01
  6. Step 6: Final answer
    x = 216.32

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