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Finding the Fourth Proportional to 240.49, 361.14 and 200.22

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Solution

The fourth proportional to 240.49, 361.14 and 200.22 is: 300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.49 : 361.14 = 200.22 : x
  2. Step 2: Convert to fraction form
    240.49/361.14 = 200.22/x
  3. Step 3: Cross multiply
    240.49x = 361.14 × 200.22
  4. Step 4: Simplify right side
    240.49x = 72,307.45
  5. Step 5: Solve for x
    x = 72,307.45/240.49
  6. Step 6: Final answer
    x = 300.67

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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.