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Finding the Fourth Proportional to 260.46, 388.44 and 242.24

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Solution

The fourth proportional to 260.46, 388.44 and 242.24 is: 361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.46 : 388.44 = 242.24 : x
  2. Step 2: Convert to fraction form
    260.46/388.44 = 242.24/x
  3. Step 3: Cross multiply
    260.46x = 388.44 × 242.24
  4. Step 4: Simplify right side
    260.46x = 94,093.76
  5. Step 5: Solve for x
    x = 94,093.76/260.46
  6. Step 6: Final answer
    x = 361.26

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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.