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Finding the Fourth Proportional to 180.04, 247.90 and 168.68

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Solution

The fourth proportional to 180.04, 247.90 and 168.68 is: 232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.04 : 247.90 = 168.68 : x
  2. Step 2: Convert to fraction form
    180.04/247.90 = 168.68/x
  3. Step 3: Cross multiply
    180.04x = 247.90 × 168.68
  4. Step 4: Simplify right side
    180.04x = 41,815.77
  5. Step 5: Solve for x
    x = 41,815.77/180.04
  6. Step 6: Final answer
    x = 232.26

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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.