Home / 120.24-180.20-117.22

Finding the Fourth Proportional to 120.24, 180.20 and 117.22

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Solution

The fourth proportional to 120.24, 180.20 and 117.22 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 180.20 = 117.22 : x
  2. Step 2: Convert to fraction form
    120.24/180.20 = 117.22/x
  3. Step 3: Cross multiply
    120.24x = 180.20 × 117.22
  4. Step 4: Simplify right side
    120.24x = 21,123.04
  5. Step 5: Solve for x
    x = 21,123.04/120.24
  6. Step 6: Final answer
    x = 175.68

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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.