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Finding the Fourth Proportional to 179.65, 247.90 and 100.97

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Solution

The fourth proportional to 179.65, 247.90 and 100.97 is: 139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.65 : 247.90 = 100.97 : x
  2. Step 2: Convert to fraction form
    179.65/247.90 = 100.97/x
  3. Step 3: Cross multiply
    179.65x = 247.90 × 100.97
  4. Step 4: Simplify right side
    179.65x = 25,029.84
  5. Step 5: Solve for x
    x = 25,029.84/179.65
  6. Step 6: Final answer
    x = 139.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.