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Finding the Fourth Proportional to 120.65, 180.74 and 102.36

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Solution

The fourth proportional to 120.65, 180.74 and 102.36 is: 153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.65 : 180.74 = 102.36 : x
  2. Step 2: Convert to fraction form
    120.65/180.74 = 102.36/x
  3. Step 3: Cross multiply
    120.65x = 180.74 × 102.36
  4. Step 4: Simplify right side
    120.65x = 18,500.03
  5. Step 5: Solve for x
    x = 18,500.03/120.65
  6. Step 6: Final answer
    x = 153.34

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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.