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Finding the Fourth Proportional to 242.02, 361.01 and 236.56

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Solution

The fourth proportional to 242.02, 361.01 and 236.56 is: 352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.02 : 361.01 = 236.56 : x
  2. Step 2: Convert to fraction form
    242.02/361.01 = 236.56/x
  3. Step 3: Cross multiply
    242.02x = 361.01 × 236.56
  4. Step 4: Simplify right side
    242.02x = 85,400.53
  5. Step 5: Solve for x
    x = 85,400.53/242.02
  6. Step 6: Final answer
    x = 352.87

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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.