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Finding the Fourth Proportional to 200.46, 302.09 and 191.19

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Solution

The fourth proportional to 200.46, 302.09 and 191.19 is: 288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 302.09 = 191.19 : x
  2. Step 2: Convert to fraction form
    200.46/302.09 = 191.19/x
  3. Step 3: Cross multiply
    200.46x = 302.09 × 191.19
  4. Step 4: Simplify right side
    200.46x = 57,755.63
  5. Step 5: Solve for x
    x = 57,755.63/200.46
  6. Step 6: Final answer
    x = 288.12

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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.