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Finding the Fourth Proportional to 202.82, 305.48 and 193.10

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Solution

The fourth proportional to 202.82, 305.48 and 193.10 is: 290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 305.48 = 193.10 : x
  2. Step 2: Convert to fraction form
    202.82/305.48 = 193.10/x
  3. Step 3: Cross multiply
    202.82x = 305.48 × 193.10
  4. Step 4: Simplify right side
    202.82x = 58,988.19
  5. Step 5: Solve for x
    x = 58,988.19/202.82
  6. Step 6: Final answer
    x = 290.84

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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.