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Finding the Fourth Proportional to 242.46, 363.54 and 120.78

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Solution

The fourth proportional to 242.46, 363.54 and 120.78 is: 181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.46 : 363.54 = 120.78 : x
  2. Step 2: Convert to fraction form
    242.46/363.54 = 120.78/x
  3. Step 3: Cross multiply
    242.46x = 363.54 × 120.78
  4. Step 4: Simplify right side
    242.46x = 43,908.36
  5. Step 5: Solve for x
    x = 43,908.36/242.46
  6. Step 6: Final answer
    x = 181.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.