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Finding the Fourth Proportional to 120.30, 180 and 96

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Solution

The fourth proportional to 120.30, 180 and 96 is: 143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.30 : 180 = 96 : x
  2. Step 2: Convert to fraction form
    120.30/180 = 96/x
  3. Step 3: Cross multiply
    120.30x = 180 × 96
  4. Step 4: Simplify right side
    120.30x = 17,280
  5. Step 5: Solve for x
    x = 17,280/120.30
  6. Step 6: Final answer
    x = 143.64

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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.