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Finding the Fourth Proportional to 200.88, 302.94 and 185.90

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Solution

The fourth proportional to 200.88, 302.94 and 185.90 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 302.94 = 185.90 : x
  2. Step 2: Convert to fraction form
    200.88/302.94 = 185.90/x
  3. Step 3: Cross multiply
    200.88x = 302.94 × 185.90
  4. Step 4: Simplify right side
    200.88x = 56,315.03
  5. Step 5: Solve for x
    x = 56,315.03/200.88
  6. Step 6: Final answer
    x = 280.34

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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.