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Finding the Fourth Proportional to 242.70, 361.20 and 241.92

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Solution

The fourth proportional to 242.70, 361.20 and 241.92 is: 360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.70 : 361.20 = 241.92 : x
  2. Step 2: Convert to fraction form
    242.70/361.20 = 241.92/x
  3. Step 3: Cross multiply
    242.70x = 361.20 × 241.92
  4. Step 4: Simplify right side
    242.70x = 87,381.50
  5. Step 5: Solve for x
    x = 87,381.50/242.70
  6. Step 6: Final answer
    x = 360.04

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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.