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Finding the Fourth Proportional to 253.85, 378.71 and 242.24

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Solution

The fourth proportional to 253.85, 378.71 and 242.24 is: 361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.85 : 378.71 = 242.24 : x
  2. Step 2: Convert to fraction form
    253.85/378.71 = 242.24/x
  3. Step 3: Cross multiply
    253.85x = 378.71 × 242.24
  4. Step 4: Simplify right side
    253.85x = 91,738.45
  5. Step 5: Solve for x
    x = 91,738.45/253.85
  6. Step 6: Final answer
    x = 361.38

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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.