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Finding the Fourth Proportional to 200.82, 302.61 and 165.54

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Solution

The fourth proportional to 200.82, 302.61 and 165.54 is: 249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.82 : 302.61 = 165.54 : x
  2. Step 2: Convert to fraction form
    200.82/302.61 = 165.54/x
  3. Step 3: Cross multiply
    200.82x = 302.61 × 165.54
  4. Step 4: Simplify right side
    200.82x = 50,094.06
  5. Step 5: Solve for x
    x = 50,094.06/200.82
  6. Step 6: Final answer
    x = 249.45

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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.