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Finding the Fourth Proportional to 242.73, 361.75 and 234.95

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Solution

The fourth proportional to 242.73, 361.75 and 234.95 is: 350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.73 : 361.75 = 234.95 : x
  2. Step 2: Convert to fraction form
    242.73/361.75 = 234.95/x
  3. Step 3: Cross multiply
    242.73x = 361.75 × 234.95
  4. Step 4: Simplify right side
    242.73x = 84,992.75
  5. Step 5: Solve for x
    x = 84,992.75/242.73
  6. Step 6: Final answer
    x = 350.15

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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.