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Finding the Fourth Proportional to 242.45, 361.06 and 231.92

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Solution

The fourth proportional to 242.45, 361.06 and 231.92 is: 345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.45 : 361.06 = 231.92 : x
  2. Step 2: Convert to fraction form
    242.45/361.06 = 231.92/x
  3. Step 3: Cross multiply
    242.45x = 361.06 × 231.92
  4. Step 4: Simplify right side
    242.45x = 83,737.04
  5. Step 5: Solve for x
    x = 83,737.04/242.45
  6. Step 6: Final answer
    x = 345.38

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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.