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Finding the Fourth Proportional to 242.22, 362.78 and 120.21

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Solution

The fourth proportional to 242.22, 362.78 and 120.21 is: 180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.22 : 362.78 = 120.21 : x
  2. Step 2: Convert to fraction form
    242.22/362.78 = 120.21/x
  3. Step 3: Cross multiply
    242.22x = 362.78 × 120.21
  4. Step 4: Simplify right side
    242.22x = 43,609.18
  5. Step 5: Solve for x
    x = 43,609.18/242.22
  6. Step 6: Final answer
    x = 180.04

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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.