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Finding the Fourth Proportional to 200.83, 299.50 and 191.52

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Solution

The fourth proportional to 200.83, 299.50 and 191.52 is: 285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.83 : 299.50 = 191.52 : x
  2. Step 2: Convert to fraction form
    200.83/299.50 = 191.52/x
  3. Step 3: Cross multiply
    200.83x = 299.50 × 191.52
  4. Step 4: Simplify right side
    200.83x = 57,360.24
  5. Step 5: Solve for x
    x = 57,360.24/200.83
  6. Step 6: Final answer
    x = 285.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.