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Finding the Fourth Proportional to 242.09, 363.04 and 105.14

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Solution

The fourth proportional to 242.09, 363.04 and 105.14 is: 157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.09 : 363.04 = 105.14 : x
  2. Step 2: Convert to fraction form
    242.09/363.04 = 105.14/x
  3. Step 3: Cross multiply
    242.09x = 363.04 × 105.14
  4. Step 4: Simplify right side
    242.09x = 38,170.03
  5. Step 5: Solve for x
    x = 38,170.03/242.09
  6. Step 6: Final answer
    x = 157.67

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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.