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Finding the Fourth Proportional to 242.16, 361.26 and 221.22

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Solution

The fourth proportional to 242.16, 361.26 and 221.22 is: 330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.16 : 361.26 = 221.22 : x
  2. Step 2: Convert to fraction form
    242.16/361.26 = 221.22/x
  3. Step 3: Cross multiply
    242.16x = 361.26 × 221.22
  4. Step 4: Simplify right side
    242.16x = 79,917.94
  5. Step 5: Solve for x
    x = 79,917.94/242.16
  6. Step 6: Final answer
    x = 330.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.