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Finding the Fourth Proportional to 200.99, 302.87 and 191.90

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Solution

The fourth proportional to 200.99, 302.87 and 191.90 is: 289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.99 : 302.87 = 191.90 : x
  2. Step 2: Convert to fraction form
    200.99/302.87 = 191.90/x
  3. Step 3: Cross multiply
    200.99x = 302.87 × 191.90
  4. Step 4: Simplify right side
    200.99x = 58,118.28
  5. Step 5: Solve for x
    x = 58,118.28/200.99
  6. Step 6: Final answer
    x = 289.17

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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.