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Finding the Fourth Proportional to 166.18, 248.85 and 139.06

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Solution

The fourth proportional to 166.18, 248.85 and 139.06 is: 208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.18 : 248.85 = 139.06 : x
  2. Step 2: Convert to fraction form
    166.18/248.85 = 139.06/x
  3. Step 3: Cross multiply
    166.18x = 248.85 × 139.06
  4. Step 4: Simplify right side
    166.18x = 34,605.08
  5. Step 5: Solve for x
    x = 34,605.08/166.18
  6. Step 6: Final answer
    x = 208.24

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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.