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Finding the Fourth Proportional to 173.30, 239.04 and 107.76

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Solution

The fourth proportional to 173.30, 239.04 and 107.76 is: 148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.30 : 239.04 = 107.76 : x
  2. Step 2: Convert to fraction form
    173.30/239.04 = 107.76/x
  3. Step 3: Cross multiply
    173.30x = 239.04 × 107.76
  4. Step 4: Simplify right side
    173.30x = 25,758.95
  5. Step 5: Solve for x
    x = 25,758.95/173.30
  6. Step 6: Final answer
    x = 148.64

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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.