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Finding the Fourth Proportional to 202.34, 301.75 and 193.64

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Solution

The fourth proportional to 202.34, 301.75 and 193.64 is: 288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.34 : 301.75 = 193.64 : x
  2. Step 2: Convert to fraction form
    202.34/301.75 = 193.64/x
  3. Step 3: Cross multiply
    202.34x = 301.75 × 193.64
  4. Step 4: Simplify right side
    202.34x = 58,428.88
  5. Step 5: Solve for x
    x = 58,428.88/202.34
  6. Step 6: Final answer
    x = 288.76

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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.