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Finding the Fourth Proportional to 242.45, 365.31 and 200.06

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Solution

The fourth proportional to 242.45, 365.31 and 200.06 is: 301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.45 : 365.31 = 200.06 : x
  2. Step 2: Convert to fraction form
    242.45/365.31 = 200.06/x
  3. Step 3: Cross multiply
    242.45x = 365.31 × 200.06
  4. Step 4: Simplify right side
    242.45x = 73,082.09
  5. Step 5: Solve for x
    x = 73,082.09/242.45
  6. Step 6: Final answer
    x = 301.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.