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Finding the Fourth Proportional to 242.02, 362.22 and 222.04

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Solution

The fourth proportional to 242.02, 362.22 and 222.04 is: 332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.02 : 362.22 = 222.04 : x
  2. Step 2: Convert to fraction form
    242.02/362.22 = 222.04/x
  3. Step 3: Cross multiply
    242.02x = 362.22 × 222.04
  4. Step 4: Simplify right side
    242.02x = 80,427.33
  5. Step 5: Solve for x
    x = 80,427.33/242.02
  6. Step 6: Final answer
    x = 332.32

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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.