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Finding the Fourth Proportional to 239.46, 359.23 and 117.73

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Solution

The fourth proportional to 239.46, 359.23 and 117.73 is: 176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.46 : 359.23 = 117.73 : x
  2. Step 2: Convert to fraction form
    239.46/359.23 = 117.73/x
  3. Step 3: Cross multiply
    239.46x = 359.23 × 117.73
  4. Step 4: Simplify right side
    239.46x = 42,292.15
  5. Step 5: Solve for x
    x = 42,292.15/239.46
  6. Step 6: Final answer
    x = 176.61

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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.