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Finding the Fourth Proportional to 242.72, 361.60 and 242.24

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Solution

The fourth proportional to 242.72, 361.60 and 242.24 is: 360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.72 : 361.60 = 242.24 : x
  2. Step 2: Convert to fraction form
    242.72/361.60 = 242.24/x
  3. Step 3: Cross multiply
    242.72x = 361.60 × 242.24
  4. Step 4: Simplify right side
    242.72x = 87,593.98
  5. Step 5: Solve for x
    x = 87,593.98/242.72
  6. Step 6: Final answer
    x = 360.88

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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.