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Finding the Fourth Proportional to 166.76, 249.04 and 139.50

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Solution

The fourth proportional to 166.76, 249.04 and 139.50 is: 208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.76 : 249.04 = 139.50 : x
  2. Step 2: Convert to fraction form
    166.76/249.04 = 139.50/x
  3. Step 3: Cross multiply
    166.76x = 249.04 × 139.50
  4. Step 4: Simplify right side
    166.76x = 34,741.08
  5. Step 5: Solve for x
    x = 34,741.08/166.76
  6. Step 6: Final answer
    x = 208.33

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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.