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Finding the Fourth Proportional to 242.16, 361.71 and 201.12

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Solution

The fourth proportional to 242.16, 361.71 and 201.12 is: 300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.16 : 361.71 = 201.12 : x
  2. Step 2: Convert to fraction form
    242.16/361.71 = 201.12/x
  3. Step 3: Cross multiply
    242.16x = 361.71 × 201.12
  4. Step 4: Simplify right side
    242.16x = 72,747.12
  5. Step 5: Solve for x
    x = 72,747.12/242.16
  6. Step 6: Final answer
    x = 300.41

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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.