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Finding the Fourth Proportional to 242.11, 363.75 and 202.42

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Solution

The fourth proportional to 242.11, 363.75 and 202.42 is: 304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.11 : 363.75 = 202.42 : x
  2. Step 2: Convert to fraction form
    242.11/363.75 = 202.42/x
  3. Step 3: Cross multiply
    242.11x = 363.75 × 202.42
  4. Step 4: Simplify right side
    242.11x = 73,630.28
  5. Step 5: Solve for x
    x = 73,630.28/242.11
  6. Step 6: Final answer
    x = 304.12

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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.