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Finding the Fourth Proportional to 238.05, 355.25 and 202.05

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Solution

The fourth proportional to 238.05, 355.25 and 202.05 is: 301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.05 : 355.25 = 202.05 : x
  2. Step 2: Convert to fraction form
    238.05/355.25 = 202.05/x
  3. Step 3: Cross multiply
    238.05x = 355.25 × 202.05
  4. Step 4: Simplify right side
    238.05x = 71,778.77
  5. Step 5: Solve for x
    x = 71,778.77/238.05
  6. Step 6: Final answer
    x = 301.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.