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Finding the Fourth Proportional to 242.35, 363.57 and 118.83

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Solution

The fourth proportional to 242.35, 363.57 and 118.83 is: 178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.35 : 363.57 = 118.83 : x
  2. Step 2: Convert to fraction form
    242.35/363.57 = 118.83/x
  3. Step 3: Cross multiply
    242.35x = 363.57 × 118.83
  4. Step 4: Simplify right side
    242.35x = 43,202.41
  5. Step 5: Solve for x
    x = 43,202.41/242.35
  6. Step 6: Final answer
    x = 178.27

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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.