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Finding the Fourth Proportional to 242.68, 361.43 and 241.30

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Solution

The fourth proportional to 242.68, 361.43 and 241.30 is: 359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.68 : 361.43 = 241.30 : x
  2. Step 2: Convert to fraction form
    242.68/361.43 = 241.30/x
  3. Step 3: Cross multiply
    242.68x = 361.43 × 241.30
  4. Step 4: Simplify right side
    242.68x = 87,213.06
  5. Step 5: Solve for x
    x = 87,213.06/242.68
  6. Step 6: Final answer
    x = 359.37

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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.