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Finding the Fourth Proportional to 242.69, 361.32 and 241.47

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Solution

The fourth proportional to 242.69, 361.32 and 241.47 is: 359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.69 : 361.32 = 241.47 : x
  2. Step 2: Convert to fraction form
    242.69/361.32 = 241.47/x
  3. Step 3: Cross multiply
    242.69x = 361.32 × 241.47
  4. Step 4: Simplify right side
    242.69x = 87,247.94
  5. Step 5: Solve for x
    x = 87,247.94/242.69
  6. Step 6: Final answer
    x = 359.51

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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.