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Finding the Fourth Proportional to 200.98, 302.07 and 191.38

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Solution

The fourth proportional to 200.98, 302.07 and 191.38 is: 287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.98 : 302.07 = 191.38 : x
  2. Step 2: Convert to fraction form
    200.98/302.07 = 191.38/x
  3. Step 3: Cross multiply
    200.98x = 302.07 × 191.38
  4. Step 4: Simplify right side
    200.98x = 57,810.16
  5. Step 5: Solve for x
    x = 57,810.16/200.98
  6. Step 6: Final answer
    x = 287.64

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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.