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Finding the Fourth Proportional to 239.92, 359.70 and 118.05

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Solution

The fourth proportional to 239.92, 359.70 and 118.05 is: 176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.92 : 359.70 = 118.05 : x
  2. Step 2: Convert to fraction form
    239.92/359.70 = 118.05/x
  3. Step 3: Cross multiply
    239.92x = 359.70 × 118.05
  4. Step 4: Simplify right side
    239.92x = 42,462.59
  5. Step 5: Solve for x
    x = 42,462.59/239.92
  6. Step 6: Final answer
    x = 176.99

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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.