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Finding the Fourth Proportional to 242.57, 361.83 and 222.67

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Solution

The fourth proportional to 242.57, 361.83 and 222.67 is: 332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.57 : 361.83 = 222.67 : x
  2. Step 2: Convert to fraction form
    242.57/361.83 = 222.67/x
  3. Step 3: Cross multiply
    242.57x = 361.83 × 222.67
  4. Step 4: Simplify right side
    242.57x = 80,567.57
  5. Step 5: Solve for x
    x = 80,567.57/242.57
  6. Step 6: Final answer
    x = 332.14

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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.