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Finding the Fourth Proportional to 173.32, 239.00 and 120.92

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Solution

The fourth proportional to 173.32, 239.00 and 120.92 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.32 : 239.00 = 120.92 : x
  2. Step 2: Convert to fraction form
    173.32/239.00 = 120.92/x
  3. Step 3: Cross multiply
    173.32x = 239.00 × 120.92
  4. Step 4: Simplify right side
    173.32x = 28,899.28
  5. Step 5: Solve for x
    x = 28,899.28/173.32
  6. Step 6: Final answer
    x = 166.74

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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.