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Finding the Fourth Proportional to 200.96, 302.12 and 185.93

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Solution

The fourth proportional to 200.96, 302.12 and 185.93 is: 279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.96 : 302.12 = 185.93 : x
  2. Step 2: Convert to fraction form
    200.96/302.12 = 185.93/x
  3. Step 3: Cross multiply
    200.96x = 302.12 × 185.93
  4. Step 4: Simplify right side
    200.96x = 56,170.73
  5. Step 5: Solve for x
    x = 56,170.73/200.96
  6. Step 6: Final answer
    x = 279.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.