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Finding the Fourth Proportional to 260.46, 361.04 and 242.64

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Solution

The fourth proportional to 260.46, 361.04 and 242.64 is: 336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.46 : 361.04 = 242.64 : x
  2. Step 2: Convert to fraction form
    260.46/361.04 = 242.64/x
  3. Step 3: Cross multiply
    260.46x = 361.04 × 242.64
  4. Step 4: Simplify right side
    260.46x = 87,601.53
  5. Step 5: Solve for x
    x = 87,601.53/260.46
  6. Step 6: Final answer
    x = 336.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.