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Finding the Fourth Proportional to 120.24, 180.72 and 109.32

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Solution

The fourth proportional to 120.24, 180.72 and 109.32 is: 164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 180.72 = 109.32 : x
  2. Step 2: Convert to fraction form
    120.24/180.72 = 109.32/x
  3. Step 3: Cross multiply
    120.24x = 180.72 × 109.32
  4. Step 4: Simplify right side
    120.24x = 19,756.31
  5. Step 5: Solve for x
    x = 19,756.31/120.24
  6. Step 6: Final answer
    x = 164.31

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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.