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Finding the Fourth Proportional to 242.28, 361.78 and 199.03

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Solution

The fourth proportional to 242.28, 361.78 and 199.03 is: 297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.28 : 361.78 = 199.03 : x
  2. Step 2: Convert to fraction form
    242.28/361.78 = 199.03/x
  3. Step 3: Cross multiply
    242.28x = 361.78 × 199.03
  4. Step 4: Simplify right side
    242.28x = 72,005.07
  5. Step 5: Solve for x
    x = 72,005.07/242.28
  6. Step 6: Final answer
    x = 297.20

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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.