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Finding the Fourth Proportional to 242.36, 363.58 and 161.24

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Solution

The fourth proportional to 242.36, 363.58 and 161.24 is: 241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.36 : 363.58 = 161.24 : x
  2. Step 2: Convert to fraction form
    242.36/363.58 = 161.24/x
  3. Step 3: Cross multiply
    242.36x = 363.58 × 161.24
  4. Step 4: Simplify right side
    242.36x = 58,623.64
  5. Step 5: Solve for x
    x = 58,623.64/242.36
  6. Step 6: Final answer
    x = 241.89

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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.